Search a number
-
+
1023249697056 = 253311743100853
BaseRepresentation
bin11101110001111100110…
…11110100100100100000
310121211012000211102001000
432320332123310210200
5113231103410301211
62102024024112000
7133633036626246
oct16707633644440
93554160742030
101023249697056
11364a59861464
12146390305600
1375651cc2532
1437750172796
151b93c94a656
hexee3e6f4920

1023249697056 has 96 divisors (see below), whose sum is σ = 2984762027520. Its totient is φ = 341050804992.

The previous prime is 1023249697039. The next prime is 1023249697061. The reversal of 1023249697056 is 6507969423201.

1023249697056 is a `hidden beast` number, since 1 + 0 + 2 + 32 + 496 + 9 + 70 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1023249696993 and 1023249697011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10095526 + ... + 10196378.

It is an arithmetic number, because the mean of its divisors is an integer number (31091271120).

Almost surely, 21023249697056 is an apocalyptic number.

1023249697056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1023249697056 is an abundant number, since it is smaller than the sum of its proper divisors (1961512330464).

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

1023249697056 is a wasteful number, since it uses less digits than its factorization.

1023249697056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112615 (or 112601 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1023249697056 in words is "one trillion, twenty-three billion, two hundred forty-nine million, six hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11743 23486 35229 46972 70458 93944 100853 105687 140916 187888 201706 211374 281832 302559 317061 375776 403412 422748 563664 605118 634122 806824 845496 907677 1127328 1210236 1268244 1613648 1690992 1815354 2420472 2536488 2723031 3227296 3381984 3630708 4840944 5072976 5446062 7261416 9681888 10145952 10892124 14522832 21784248 29045664 43568496 87136992 1184316779 2368633558 3552950337 4737267116 7105900674 9474534232 10658851011 14211801348 18949068464 21317702022 28423602696 31976553033 37898136928 42635404044 56847205392 63953106066 85270808088 113694410784 127906212132 170541616176 255812424264 341083232352 511624848528 1023249697056