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1074089990952 = 2333112319654699
BaseRepresentation
bin11111010000101001100…
…00001001101100101000
310210200102011210221012000
433220110300021230220
5120044214014202302
62141232524051000
7140412644166366
oct17502460115450
93720364727160
101074089990952
11384578886780
121541ba693a60
137a394b82684
1439db431a636
151ce15e7631c
hexfa14c09b28

1074089990952 has 128 divisors (see below), whose sum is σ = 3396332160000. Its totient is φ = 311330416320.

The previous prime is 1074089990899. The next prime is 1074089990989. The reversal of 1074089990952 is 2590999804701.

1074089990952 is a `hidden beast` number, since 1 + 0 + 7 + 408 + 99 + 90 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1074089990952.

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 31 ways as a sum of consecutive naturals, for example, 9772702 + ... + 9881997.

It is an arithmetic number, because the mean of its divisors is an integer number (26533845000).

Almost surely, 21074089990952 is an apocalyptic number.

1074089990952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1074089990952 is an abundant number, since it is smaller than the sum of its proper divisors (2322242169048).

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

1074089990952 is a wasteful number, since it uses less digits than its factorization.

1074089990952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19654748 (or 19654738 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 1074089990952 in words is "one trillion, seventy-four billion, eighty-nine million, nine hundred ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 4554 4968 6072 6831 9108 13662 18216 27324 54648 19654699 39309398 58964097 78618796 117928194 157237592 176892291 216201689 235856388 353784582 432403378 452058077 471712776 530676873 648605067 707569164 864806756 904116154 1061353746 1297210134 1356174231 1415138328 1729613512 1808232308 1945815201 2122707492 2594420268 2712348462 3616464616 3891630402 4068522693 4245414984 4972638847 5188840536 5424696924 5837445603 7783260804 8137045386 9945277694 10849393848 11674891206 12205568079 14917916541 15566521608 16274090772 19890555388 23349782412 24411136158 29835833082 32548181544 39781110776 44753749623 46699564824 48822272316 59671666164 89507499246 97644544632 119343332328 134261248869 179014998492 268522497738 358029996984 537044995476 1074089990952