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161236248960 = 2735355723609
BaseRepresentation
bin1001011000101001101…
…1011110100110000000
3120102011211110002202110
42112022123132212000
510120202434431320
6202023152215320
714435404334403
oct2261233364600
9512154402673
10161236248960
116241a728316
12272b983a540
1312287413497
147b37b9bd3a
1542da2885e0
hex258a6de980

161236248960 has 128 divisors (see below), whose sum is σ = 514106805600. Its totient is φ = 42982424576.

The previous prime is 161236248941. The next prime is 161236248967. The reversal of 161236248960 is 69842632161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1612362489602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161236248967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6817636 + ... + 6841244.

Almost surely, 2161236248960 is an apocalyptic number.

161236248960 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 161236248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257053402800).

161236248960 is an abundant number, since it is smaller than the sum of its proper divisors (352870556640).

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

161236248960 is a wasteful number, since it uses less digits than its factorization.

161236248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27188 (or 27176 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 161236248960 in words is "one hundred sixty-one billion, two hundred thirty-six million, two hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3557 7114 10671 14228 17785 21342 23609 28456 35570 42684 47218 53355 56912 70827 71140 85368 94436 106710 113824 118045 141654 142280 170736 188872 213420 227648 236090 283308 284560 341472 354135 377744 426840 455296 472180 566616 569120 682944 708270 755488 853680 944360 1133232 1138240 1365888 1416540 1510976 1707360 1888720 2266464 2276480 2833080 3021952 3414720 3777440 4532928 5666160 6829440 7554880 9065856 11332320 15109760 22664640 45329280 83977213 167954426 251931639 335908852 419886065 503863278 671817704 839772130 1007726556 1259658195 1343635408 1679544260 2015453112 2519316390 2687270816 3359088520 4030906224 5038632780 5374541632 6718177040 8061812448 10077265560 10749083264 13436354080 16123624896 20154531120 26872708160 32247249792 40309062240 53745416320 80618124480 161236248960