Search a number
-
+
155901138720 = 2535761426799
BaseRepresentation
bin1001000100110001101…
…1101001011100100000
3112220102000111102100220
42101030123221130200
510023241142414340
6155341530243040
714156242546215
oct2211433513440
9486360442326
10155901138720
1160132145aa8
122626ab86480
1311917012b12
14778d3c7b0c
1540c6bd9ed0
hex244c6e9720

155901138720 has 96 divisors (see below), whose sum is σ = 491735059200. Its totient is φ = 41518909440.

The previous prime is 155901138719. The next prime is 155901138727. The reversal of 155901138720 is 27831109551.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (155901138727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151881 + ... + 578679.

It is an arithmetic number, because the mean of its divisors is an integer number (5122240200).

Almost surely, 2155901138720 is an apocalyptic number.

155901138720 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 155901138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245867529600).

155901138720 is an abundant number, since it is smaller than the sum of its proper divisors (335833920480).

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

155901138720 is a wasteful number, since it uses less digits than its factorization.

155901138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427578 (or 427570 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 155901138720 in words is "one hundred fifty-five billion, nine hundred one million, one hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 761 1522 2283 3044 3805 4566 6088 7610 9132 11415 12176 15220 18264 22830 24352 30440 36528 45660 60880 73056 91320 121760 182640 365280 426799 853598 1280397 1707196 2133995 2560794 3414392 4267990 5121588 6401985 6828784 8535980 10243176 12803970 13657568 17071960 20486352 25607940 34143920 40972704 51215880 68287840 102431760 204863520 324794039 649588078 974382117 1299176156 1623970195 1948764234 2598352312 3247940390 3897528468 4871910585 5196704624 6495880780 7795056936 9743821170 10393409248 12991761560 15590113872 19487642340 25983523120 31180227744 38975284680 51967046240 77950569360 155901138720