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161000384231680 = 2857158311351101
BaseRepresentation
bin100100100110110111010010…
…101101011111100100000000
3210010001111010121010110111221
4210212313102231133210000
5132100312241330403210
61330230315551044424
745624615416016010
oct4446672255374400
9703044117113457
10161000384231680
114733297469a114
1216082b52b10714
136bab36a770296
142ba8662a0dc40
151392ec96d51da
hex926dd2b5f900

161000384231680 has 144 divisors (see below), whose sum is σ = 441017010491904. Its totient is φ = 55165256294400.

The previous prime is 161000384231641. The next prime is 161000384231689. The reversal of 161000384231680 is 86132483000161.

It is a super-2 number, since 2×1610003842316802 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161000384231689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8508130 + ... + 19859230.

It is an arithmetic number, because the mean of its divisors is an integer number (3062618128416).

Almost surely, 2161000384231680 is an apocalyptic number.

161000384231680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161000384231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220508505245952).

161000384231680 is an abundant number, since it is smaller than the sum of its proper divisors (280016626260224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161000384231680 is a wasteful number, since it uses less digits than its factorization.

161000384231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352712 (or 11352698 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 161000384231680 in words is "one hundred sixty-one trillion, three hundred eighty-four million, two hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1583 1792 2240 3166 4480 6332 7915 8960 11081 12664 15830 22162 25328 31660 44324 50656 55405 63320 88648 101312 110810 126640 177296 202624 221620 253280 354592 405248 443240 506560 709184 886480 1013120 1418368 1772960 2026240 2836736 3545920 7091840 11351101 14183680 22702202 45404404 56755505 79457707 90808808 113511010 158915414 181617616 227022020 317830828 363235232 397288535 454044040 635661656 726470464 794577070 908088080 1271323312 1452940928 1589154140 1816176160 2542646624 2905881856 3178308280 3632352320 5085293248 6356616560 7264704640 10170586496 12713233120 14529409280 17968792883 20341172992 25426466240 35937585766 50852932480 71875171532 89843964415 101705864960 125781550181 143750343064 179687928830 251563100362 287500686128 359375857660 503126200724 575001372256 628907750905 718751715320 1006252401448 1150002744512 1257815501810 1437503430640 2012504802896 2300005489024 2515631003620 2875006861280 4025009605792 4600010978048 5031262007240 5750013722560 8050019211584 10062524014480 11500027445120 16100038423168 20125048028960 23000054890240 32200076846336 40250096057920 80500192115840 161000384231680