Search a number
-
+
1001055004956 = 2232191463530709
BaseRepresentation
bin11101001000100111000…
…01110010100100011100
310112200220020121020012200
432210103201302210130
5112400130040124311
62043513414531500
7132216035101146
oct16442341624434
93480806536180
101001055004956
113565aa4a8816
12142017366b90
1373525a24226
14366465d1c96
151b08e1b0556
hexe91387291c

1001055004956 has 36 divisors (see below), whose sum is σ = 2663625892200. Its totient is φ = 316122632928.

The previous prime is 1001055004903. The next prime is 1001055004981. The reversal of 1001055004956 is 6594005501001.

1001055004956 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 550 + 0 + 4 + 95 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10010550049562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1001055004956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731764671 + ... + 731766038.

Almost surely, 21001055004956 is an apocalyptic number.

It is an amenable number.

1001055004956 is an abundant number, since it is smaller than the sum of its proper divisors (1662570887244).

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

1001055004956 is a wasteful number, since it uses less digits than its factorization.

1001055004956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463530738 (or 1463530733 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1001055004956 in words is "one trillion, one billion, fifty-five million, four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1463530709 2927061418 4390592127 5854122836 8781184254 13171776381 17562368508 26343552762 27807083471 52687105524 55614166942 83421250413 111228333884 166842500826 250263751239 333685001652 500527502478 1001055004956