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1028113913844 = 2232233388931517
BaseRepresentation
bin11101111011000000101…
…11010101011111110100
310122021202000201020001100
432331200113111133310
5113321034130220334
62104150425130100
7134164423035303
oct16754027253764
93567660636040
101028113913844
11367025557536
12147309329930
1375c4898c214
1437a921aa43a
151bb249cec99
hexef605d57f4

1028113913844 has 72 divisors (see below), whose sum is σ = 2610751295880. Its totient is φ = 341135235072.

The previous prime is 1028113913821. The next prime is 1028113913903. The reversal of 1028113913844 is 4483193118201.

1028113913844 is a `hidden beast` number, since 102 + 81 + 1 + 3 + 91 + 384 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19415078244 + 1008698835600 = 139338^2 + 1004340^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1028113913844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32605174 + ... + 32636690.

It is an arithmetic number, because the mean of its divisors is an integer number (36260434665).

Almost surely, 21028113913844 is an apocalyptic number.

It is an amenable number.

1028113913844 is an abundant number, since it is smaller than the sum of its proper divisors (1582637382036).

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

1028113913844 is a wasteful number, since it uses less digits than its factorization.

1028113913844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35649 (or 35644 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1028113913844 in words is "one trillion, twenty-eight billion, one hundred thirteen million, nine hundred thirteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 3889 4194 7778 8388 11667 15556 23334 31517 35001 46668 63034 70002 94551 126068 140004 189102 283653 378204 567306 906137 1134612 1812274 2718411 3624548 5436822 7343461 8155233 10873644 14686922 16310466 22030383 29373844 32620932 44060766 66091149 88121532 122569613 132182298 245139226 264364596 367708839 490278452 735417678 1103126517 1470835356 2206253034 4412506068 28558719829 57117439658 85676159487 114234879316 171352318974 257028478461 342704637948 514056956922 1028113913844