Search a number
-
+
23270531887416 = 233111011153756923
BaseRepresentation
bin1010100101010000101111…
…10010010111000100111000
310001101122022101012120211210
411102220113302113010320
511022231022130344131
6121254200150523120
74621145321255562
oct522502762270470
9101348271176753
1023270531887416
117461a82652960
122739b9a0664a0
13cca52b818618
145a642a744332
152a54bebc6146
hex152a17c97138

23270531887416 has 128 divisors (see below), whose sum is σ = 64149127338240. Its totient is φ = 6975793152000.

The previous prime is 23270531887399. The next prime is 23270531887417. The reversal of 23270531887416 is 61478813507232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23270531887417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30365131 + ... + 31122053.

It is an arithmetic number, because the mean of its divisors is an integer number (501165057330).

Almost surely, 223270531887416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23270531887416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32074563669120).

23270531887416 is an abundant number, since it is smaller than the sum of its proper divisors (40878595450824).

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

23270531887416 is a wasteful number, since it uses less digits than its factorization.

23270531887416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758197 (or 758193 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 23270531887416 in words is "twenty-three trillion, two hundred seventy billion, five hundred thirty-one million, eight hundred eighty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1153 1212 2222 2306 2424 3333 3459 4444 4612 6666 6918 8888 9224 12683 13332 13836 25366 26664 27672 38049 50732 76098 101464 116453 152196 232906 304392 349359 465812 698718 756923 931624 1280983 1397436 1513846 2270769 2561966 2794872 3027692 3842949 4541538 5123932 6055384 7685898 8326153 9083076 10247864 15371796 16652306 18166152 24978459 30743592 33304612 49956918 66609224 76449223 99913836 152898446 199827672 229347669 305796892 458695338 611593784 840941453 872732219 917390676 1681882906 1745464438 1834781352 2522824359 2618196657 3363765812 3490928876 5045648718 5236393314 6727531624 6981857752 9600054409 10091297436 10472786628 19200108818 20182594872 20945573256 28800163227 38400217636 57600326454 76800435272 88145954119 115200652908 176291908238 230401305816 264437862357 352583816476 528875724714 705167632952 969605495309 1057751449428 1939210990618 2115502898856 2908816485927 3878421981236 5817632971854 7756843962472 11635265943708 23270531887416