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155948157992 = 231121933072719
BaseRepresentation
bin1001000100111100111…
…1000000110000101000
3112220112021222020200102
42101033033000300220
510023340212023432
6155350330124532
714160353320514
oct2211717006050
9486467866612
10155948157992
1160156740300
1226282880748
1311923996583
147795747144
1540cadc6962
hex244f3c0c28

155948157992 has 96 divisors (see below), whose sum is σ = 324238252800. Its totient is φ = 70262691840.

The previous prime is 155948157961. The next prime is 155948158019. The reversal of 155948157992 is 299751849551.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57353609 + ... + 57356327.

It is an arithmetic number, because the mean of its divisors is an integer number (3377481800).

Almost surely, 2155948157992 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 155948157992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162119126400).

155948157992 is an abundant number, since it is smaller than the sum of its proper divisors (168290094808).

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

155948157992 is a wasteful number, since it uses less digits than its factorization.

155948157992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3232 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 65.

The spelling of 155948157992 in words is "one hundred fifty-five billion, nine hundred forty-eight million, one hundred fifty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 121 193 242 307 386 484 614 772 968 1228 1544 2123 2456 2719 3377 4246 5438 6754 8492 10876 13508 16984 21752 23353 27016 29909 37147 46706 59251 59818 74294 93412 118502 119636 148588 186824 237004 239272 297176 328999 474008 524767 651761 657998 834733 1049534 1303522 1315996 1669466 2099068 2607044 2631992 3338932 4198136 5214088 5772437 6677864 7169371 9182063 11544874 14338742 18364126 23089748 28677484 36728252 46179496 57354968 63496807 73456504 101002693 126993614 161103469 202005386 253987228 322206938 404010772 507974456 644413876 808021544 1288827752 1772138159 3544276318 7088552636 14177105272 19493519749 38987039498 77974078996 155948157992