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1529920514112 = 263163233209809
BaseRepresentation
bin10110010000110110010…
…111100110100001000000
312102020222210100201221220
4112100312113212201000
5200031234122422422
63130500310115040
7215350566542064
oct26206627464100
95366883321856
101529920514112
1153a921277501
1220861334ba80
13b136a19b323
1454097303aa4
1529be4021e5c
hex164365e6840

1529920514112 has 112 divisors (see below), whose sum is σ = 4090247628480. Its totient is φ = 504667127808.

The previous prime is 1529920514107. The next prime is 1529920514117. The reversal of 1529920514112 is 2114150299251.

It is an interprime number because it is at equal distance from previous prime (1529920514107) and next prime (1529920514117).

It is a super-2 number, since 2×15299205141122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1529920514117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7187064 + ... + 7396872.

Almost surely, 21529920514112 is an apocalyptic number.

1529920514112 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 1529920514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045123814240).

1529920514112 is an abundant number, since it is smaller than the sum of its proper divisors (2560327114368).

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

1529920514112 is a wasteful number, since it uses less digits than its factorization.

1529920514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210220 (or 210210 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 1529920514112 in words is "one trillion, five hundred twenty-nine billion, nine hundred twenty million, five hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 233 326 466 489 652 699 932 978 1304 1398 1864 1956 2608 2796 3728 3912 5216 5592 7456 7824 10432 11184 14912 15648 22368 31296 37979 44736 75958 113937 151916 209809 227874 303832 419618 455748 607664 629427 839236 911496 1215328 1258854 1678472 1822992 2430656 2517708 3356944 3645984 5035416 6713888 7291968 10070832 13427776 20141664 34198867 40283328 48885497 68397734 97770994 102596601 136795468 146656491 195541988 205193202 273590936 293312982 391083976 410386404 547181872 586625964 782167952 820772808 1094363744 1173251928 1564335904 1641545616 2188727488 2346503856 3128671808 3283091232 4693007712 6566182464 7968336011 9386015424 15936672022 23905008033 31873344044 47810016066 63746688088 95620032132 127493376176 191240064264 254986752352 382480128528 509973504704 764960257056 1529920514112