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151920497092 = 2272132319713159
BaseRepresentation
bin1000110101111100101…
…0101101000111000100
3112112010121012212121111
42031133022231013010
54442113121401332
6153442531254404
713655505630100
oct2153712550704
9475117185544
10151920497092
115947a184031
1225539a4a404
131143140b780
1474d2872900
153e424da947
hex235f2ad1c4

151920497092 has 144 divisors (see below), whose sum is σ = 349327883520. Its totient is φ = 57191194368.

The previous prime is 151920497089. The next prime is 151920497101. The reversal of 151920497092 is 290794029151.

151920497092 is digitally balanced in base 2, 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 (49).

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 47 ways as a sum of consecutive naturals, for example, 11538409 + ... + 11551567.

It is an arithmetic number, because the mean of its divisors is an integer number (2425888080).

Almost surely, 2151920497092 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 151920497092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174663941760).

151920497092 is an abundant number, since it is smaller than the sum of its proper divisors (197407386428).

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

151920497092 is a wasteful number, since it uses less digits than its factorization.

151920497092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13410 (or 13401 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 49.

The spelling of 151920497092 in words is "one hundred fifty-one billion, nine hundred twenty million, four hundred ninety-seven thousand, ninety-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 49 52 91 92 98 161 182 196 197 299 322 364 394 598 637 644 788 1127 1196 1274 1379 2093 2254 2548 2561 2758 4186 4508 4531 5122 5516 8372 9062 9653 10244 13159 14651 17927 18124 19306 26318 29302 31717 35854 38612 52636 58604 58903 63434 71708 92113 117806 125489 126868 171067 184226 222019 235612 250978 302657 342134 368452 412321 444038 501956 605314 644791 684268 824642 888076 1197469 1210628 1289582 1649284 2118599 2394938 2579164 2592323 2886247 3934541 4237198 4789876 5184646 5772494 7869082 8382283 8474396 10369292 11544988 14830193 15738164 16764566 18146261 27541787 29660386 33529132 33700199 36292522 55083574 59320772 59623429 67400398 72585044 110167148 119246858 127023827 134800796 192792509 235901393 238493716 254047654 385585018 417364003 471802786 508095308 771170036 775104577 834728006 943605572 1550209154 1651309751 1669456012 2921548021 3100418308 3302619502 5425732039 5843096042 6605239004 10851464078 11686192084 21702928156 37980124273 75960248546 151920497092