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1012742496 = 253217613391
BaseRepresentation
bin111100010111010…
…011100101100000
32121120122122112100
4330113103211200
54033230224441
6244254330400
734045112013
oct7427234540
92546578470
101012742496
1147a737477
122431b9a00
13131a7c11c
149870737a
155dd9bcb6
hex3c5d3960

1012742496 has 144 divisors (see below), whose sum is σ = 3100301568. Its totient is φ = 312422400.

The previous prime is 1012742477. The next prime is 1012742501. The reversal of 1012742496 is 6942472101.

It is a happy number.

1012742496 is a `hidden beast` number, since 1 + 0 + 127 + 42 + 496 = 666.

1012742496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 1012742496.

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, 296961 + ... + 300351.

It is an arithmetic number, because the mean of its divisors is an integer number (21529872).

Almost surely, 21012742496 is an apocalyptic number.

1012742496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550150784).

1012742496 is an abundant number, since it is smaller than the sum of its proper divisors (2087559072).

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

1012742496 is a wasteful number, since it uses less digits than its factorization.

1012742496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1012742496 is about 31823.6153822912. The cubic root of 1012742496 is about 1004.2295840638.

The spelling of 1012742496 in words is "one billion, twelve million, seven hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 61 68 72 96 102 122 136 144 153 183 204 244 272 288 306 366 408 488 544 549 612 732 816 976 1037 1098 1224 1464 1632 1952 2074 2196 2448 2928 3111 3391 4148 4392 4896 5856 6222 6782 8296 8784 9333 10173 12444 13564 16592 17568 18666 20346 24888 27128 30519 33184 37332 40692 49776 54256 57647 61038 74664 81384 99552 108512 115294 122076 149328 162768 172941 206851 230588 244152 298656 325536 345882 413702 461176 488304 518823 620553 691764 827404 922352 976608 1037646 1241106 1383528 1654808 1844704 1861659 2075292 2482212 2767056 3309616 3516467 3723318 4150584 4964424 5534112 6619232 7032934 7446636 8301168 9928848 10549401 14065868 14893272 16602336 19857696 21098802 28131736 29786544 31648203 42197604 56263472 59573088 63296406 84395208 112526944 126592812 168790416 253185624 337580832 506371248 1012742496