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155488022832 = 243311311934133
BaseRepresentation
bin1001000011001111001…
…1101111000100110000
3112212100020010221220110
42100303303233010300
510021414413212312
6155232531541320
714143065246552
oct2206363570460
9485306127813
10155488022832
115aa3aa31a0a
122617475a840
131187c55b64c
1477505ab4d2
1540a07d543c
hex2433cef130

155488022832 has 160 divisors (see below), whose sum is σ = 420066256896. Its totient is φ = 49504665600.

The previous prime is 155488022821. The next prime is 155488022857. The reversal of 155488022832 is 238220884551.

It is a happy number.

155488022832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37619038 + ... + 37623170.

Almost surely, 2155488022832 is an apocalyptic number.

155488022832 is a gapful number since it is divisible by the number (12) 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 155488022832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210033128448).

155488022832 is an abundant number, since it is smaller than the sum of its proper divisors (264578234064).

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

155488022832 is a wasteful number, since it uses less digits than its factorization.

155488022832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 155488022832 in words is "one hundred fifty-five billion, four hundred eighty-eight million, twenty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 131 186 193 248 262 372 386 393 496 524 579 744 772 786 1048 1158 1488 1544 1572 2096 2316 3088 3144 4061 4133 4632 5983 6288 8122 8266 9264 11966 12183 12399 16244 16532 17949 23932 24366 24798 25283 32488 33064 35898 47864 48732 49596 50566 64976 66128 71796 75849 95728 97464 99192 101132 128123 143592 151698 194928 198384 202264 256246 287184 303396 384369 404528 512492 541423 606792 768738 783773 797669 1024984 1082846 1213584 1537476 1567546 1595338 1624269 2049968 2165692 2351319 2393007 3074952 3135092 3190676 3248538 4331384 4702638 4786014 6149904 6270184 6381352 6497076 8662768 9405276 9572028 12540368 12762704 12994152 16784113 18810552 19144056 24727739 25988304 33568226 37621104 38288112 49455478 50352339 67136452 74183217 98910956 100704678 104494639 134272904 148366434 197821912 201409356 208989278 268545808 296732868 313483917 395643824 402818712 417978556 593465736 626967834 805637424 835957112 1186931472 1253935668 1671914224 2507871336 3239333809 5015742672 6478667618 9718001427 12957335236 19436002854 25914670472 38872005708 51829340944 77744011416 155488022832