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1070692831350 = 23352793105801
BaseRepresentation
bin11111001010010100100…
…01000001000001110110
310210100122102110100022000
433211022101001001312
5120020234331100400
62135511451120130
7140232523622112
oct17451221010166
93710572410260
101070692831350
1138309521045a
12153610a43046
1379c7311266c
1439b7108c742
151ccb7ad0600
hexf94a441076

1070692831350 has 48 divisors (see below), whose sum is σ = 2950353583440. Its totient is φ = 285518088000.

The previous prime is 1070692831349. The next prime is 1070692831363. The reversal of 1070692831350 is 531382960701.

1070692831350 is a `hidden beast` number, since 10 + 7 + 0 + 6 + 9 + 283 + 1 + 350 = 666.

It is a super-2 number, since 2×10706928313502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1070692831296 and 1070692831305.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 396551551 + ... + 396554250.

It is an arithmetic number, because the mean of its divisors is an integer number (61465699655).

Almost surely, 21070692831350 is an apocalyptic number.

1070692831350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1070692831350 is an abundant number, since it is smaller than the sum of its proper divisors (1879660752090).

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

1070692831350 is a wasteful number, since it uses less digits than its factorization.

1070692831350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793105822 (or 793105811 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1070692831350 in words is "one trillion, seventy billion, six hundred ninety-two million, eight hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 793105801 1586211602 2379317403 3965529005 4758634806 7137952209 7931058010 11896587015 14275904418 19827645025 21413856627 23793174030 35689761045 39655290050 42827713254 59482935075 71379522090 107069283135 118965870150 178448805225 214138566270 356897610450 535346415675 1070692831350