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132156314556616 = 237471972111120739
BaseRepresentation
bin11110000011001000001010…
…001011110001100011001000
3122022221000112210021100211201
4132003020022023301203020
5114310222113011302431
61145023434530233544
736556656450054040
oct3603101213614310
9568830483240751
10132156314556616
11391221a6293a99
12129a49424258b4
13589839668b12c
14248c584cd0720
151042a506c5461
hex78320a2f18c8

132156314556616 has 128 divisors (see below), whose sum is σ = 290825684582400. Its totient is φ = 55125377637120.

The previous prime is 132156314556599. The next prime is 132156314556631. The reversal of 132156314556616 is 616655413651231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094501575 + ... + 1094622313.

It is an arithmetic number, because the mean of its divisors is an integer number (2272075660800).

Almost surely, 2132156314556616 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 132156314556616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145412842291200).

132156314556616 is an abundant number, since it is smaller than the sum of its proper divisors (158669370025784).

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

132156314556616 is a wasteful number, since it uses less digits than its factorization.

132156314556616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123107 (or 123103 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 55.

The spelling of 132156314556616 in words is "one hundred thirty-two trillion, one hundred fifty-six billion, three hundred fourteen million, five hundred fifty-six thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 197 329 376 394 658 788 1316 1379 1576 2111 2632 2758 4222 5516 8444 9259 11032 14777 16888 18518 29554 37036 59108 64813 74072 99217 118216 120739 129626 198434 241478 259252 396868 415867 482956 518504 694519 793736 831734 845173 965912 1389038 1663468 1690346 2778076 2911069 3326936 3380692 5556152 5674733 5822138 6761384 11349466 11644276 19545749 22698932 23288552 23785583 39091498 39723131 45397864 47571166 78182996 79446262 95142332 136820243 156365992 158892524 166499081 190284664 254880029 273640486 317785048 332998162 509760058 547280972 665996324 1019520116 1094561944 1117922401 1331992648 1784160203 2039040232 2235844802 3568320406 4471689604 7136640812 7825456807 8943379208 11979361363 14273281624 15650913614 23958722726 31301827228 47917445452 50211365713 62603654456 83855529541 95834890904 100422731426 167711059082 200845462852 335422118164 351479559991 401690925704 670844236328 702959119982 1405918239964 2359934188511 2811836479928 4719868377022 9439736754044 16519539319577 18879473508088 33039078639154 66078157278308 132156314556616