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1470103781664 = 25377329967869
BaseRepresentation
bin10101011001001001000…
…000111000000100100000
312012112121001121220000210
4111121021000320010200
5143041233032003124
63043204550014120
7211132353652110
oct25311100700440
95175531556023
101470103781664
11517516294031
121b8aba947340
13a88266ba39b
1451220d19040
1528392920a29
hex15649038120

1470103781664 has 96 divisors (see below), whose sum is σ = 4470726718080. Its totient is φ = 414275807232.

The previous prime is 1470103781659. The next prime is 1470103781761. The reversal of 1470103781664 is 4661873010741.

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

It is a super-2 number, since 2×14701037816642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14934879 + ... + 15032990.

It is an arithmetic number, because the mean of its divisors is an integer number (46570069980).

Almost surely, 21470103781664 is an apocalyptic number.

1470103781664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1470103781664 is an abundant number, since it is smaller than the sum of its proper divisors (3000622936416).

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

1470103781664 is a wasteful number, since it uses less digits than its factorization.

1470103781664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29967962 (or 29967954 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 1470103781664 in words is "one trillion, four hundred seventy billion, one hundred three million, seven hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4088 6132 7008 8176 12264 16352 24528 49056 29967869 59935738 89903607 119871476 179807214 209775083 239742952 359614428 419550166 479485904 629325249 719228856 839100332 958971808 1258650498 1438457712 1678200664 2187654437 2517300996 2876915424 3356401328 4375308874 5034601992 6562963311 6712802656 8750617748 10069203984 13125926622 15313581059 17501235496 20138407968 26251853244 30627162118 35002470992 45940743177 52503706488 61254324236 70004941984 91881486354 105007412976 122508648472 183762972708 210014825952 245017296944 367525945416 490034593888 735051890832 1470103781664