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1014910881552 = 243229349148991
BaseRepresentation
bin11101100010011010110…
…01110000111100010000
310121000122212212200122100
432301031121300330100
5113112014141202202
62054124342240400
7133216303103631
oct16611531607420
93530585780570
101014910881552
1136146a8089a7
12144843726100
1374923510c89
143719c8ad888
151b60082541c
hexec4d670f10

1014910881552 has 120 divisors (see below), whose sum is σ = 2855897710848. Its totient is φ = 336455481600.

The previous prime is 1014910881443. The next prime is 1014910881571. The reversal of 1014910881552 is 2551880194101.

1014910881552 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 10 + 8 + 81 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1014910881498 and 1014910881507.

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 23 ways as a sum of consecutive naturals, for example, 20691777 + ... + 20740767.

Almost surely, 21014910881552 is an apocalyptic number.

1014910881552 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 1014910881552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427948855424).

1014910881552 is an abundant number, since it is smaller than the sum of its proper divisors (1840986829296).

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

1014910881552 is a wasteful number, since it uses less digits than its factorization.

1014910881552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49789 (or 49780 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 1014910881552 in words is "one trillion, fourteen billion, nine hundred ten million, eight hundred eighty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 491 586 879 982 1172 1473 1758 1964 2344 2637 2946 3516 3928 4419 4688 5274 5892 7032 7856 8838 10548 11784 14064 17676 21096 23568 35352 42192 48991 70704 97982 143863 146973 195964 287726 293946 391928 431589 440919 575452 587892 783856 863178 881838 1150904 1175784 1294767 1726356 1763676 2301808 2351568 2589534 3452712 3527352 5179068 6905424 7054704 10358136 14354363 20716272 24054581 28708726 43063089 48109162 57417452 72163743 86126178 96218324 114834904 129189267 144327486 172252356 192436648 216491229 229669808 258378534 288654972 344504712 384873296 432982458 516757068 577309944 689009424 865964916 1033514136 1154619888 1731929832 2067028272 3463859664 7047992233 14095984466 21143976699 28191968932 42287953398 56383937864 63431930097 84575906796 112767875728 126863860194 169151813592 253727720388 338303627184 507455440776 1014910881552