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149396622256 = 2472973751839
BaseRepresentation
bin1000101100100010111…
…0111000101110110000
3112021121201002202012201
42023020232320232300
54421431013403011
6152344252032544
713536121223320
oct2131056705660
9467551082181
10149396622256
11583a4553562
1224b54762754
131111b5702cb
1473335a9280
153d45b45cc1
hex22c8bb8bb0

149396622256 has 160 divisors (see below), whose sum is σ = 347777740800. Its totient is φ = 60818688000.

The previous prime is 149396622253. The next prime is 149396622269. The reversal of 149396622256 is 652226693941.

It is a super-3 number, since 3×1493966222563 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149396622197 and 149396622206.

It is not an unprimeable number, because it can be changed into a prime (149396622253) 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, 178064685 + ... + 178065523.

It is an arithmetic number, because the mean of its divisors is an integer number (2173610880).

Almost surely, 2149396622256 is an apocalyptic number.

149396622256 is a gapful number since it is divisible by the number (16) 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 149396622256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173888870400).

149396622256 is an abundant number, since it is smaller than the sum of its proper divisors (198381118544).

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

149396622256 is a wasteful number, since it uses less digits than its factorization.

149396622256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1701 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 55.

The spelling of 149396622256 in words is "one hundred forty-nine billion, three hundred ninety-six million, six hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 73 112 116 146 203 232 292 406 464 511 584 751 812 839 1022 1168 1502 1624 1678 2044 2117 3004 3248 3356 4088 4234 5257 5873 6008 6712 8176 8468 10514 11746 12016 13424 14819 16936 21028 21779 23492 24331 29638 33872 42056 43558 46984 48662 54823 59276 61247 84112 87116 93968 97324 109646 118552 122494 152453 170317 174232 194648 219292 237104 244988 304906 340634 348464 383761 389296 428729 438584 489976 609812 630089 681268 767522 857458 877168 979952 1219624 1260178 1362536 1535044 1589867 1714916 1776163 2439248 2520356 2725072 3070088 3179734 3429832 3552326 4410623 5040712 6140176 6359468 6859664 7104652 8821246 10081424 11129069 12433141 12718936 14209304 17642492 18272581 22258138 24866282 25437872 28418608 35284984 36545162 44516276 45996497 49732564 70569968 73090324 89032552 91992994 99465128 127908067 146180648 178065104 183985988 198930256 255816134 292361296 321975479 367971976 511632268 643950958 735943952 1023264536 1287901916 1333898413 2046529072 2575803832 2667796826 5151607664 5335593652 9337288891 10671187304 18674577782 21342374608 37349155564 74698311128 149396622256