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1190130666816 = 26371368116453
BaseRepresentation
bin10001010100011001010…
…100001100110101000000
311012202221020211001000210
4101110121110030311000
5123444341422314231
62310423302314120
7151661355516630
oct21243124146500
94182836731023
101190130666816
11419805809a93
121727a4428940
13882c89ba6a0
144186189a6c0
1520e5853da46
hex1151950cd40

1190130666816 has 112 divisors (see below), whose sum is σ = 3875553766784. Its totient is φ = 313880610816.

The previous prime is 1190130666737. The next prime is 1190130666919. The reversal of 1190130666816 is 6186660310911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11901306668162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34040755 + ... + 34075698.

It is an arithmetic number, because the mean of its divisors is an integer number (34603158632).

Almost surely, 21190130666816 is an apocalyptic number.

1190130666816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1190130666816 is an abundant number, since it is smaller than the sum of its proper divisors (2685423099968).

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

1190130666816 is a wasteful number, since it uses less digits than its factorization.

1190130666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68116488 (or 68116478 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 1190130666816 in words is "one trillion, one hundred ninety billion, one hundred thirty million, six hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 68116453 136232906 204349359 272465812 408698718 476815171 544931624 817397436 885513889 953630342 1089863248 1430445513 1634794872 1771027778 1907260684 2179726496 2656541667 2860891026 3269589744 3542055556 3814521368 4359452992 5313083334 5721782052 6198597223 6539179488 7084111112 7629042736 10626166668 11443564104 12397194446 13078358976 14168222224 15258085472 18595791669 21252333336 22887128208 24794388892 28336444448 30516170944 37191583338 42504666672 45774256416 49588777784 56672888896 74383166676 85009333344 91548512832 99177555568 148766333352 170018666688 198355111136 297532666704 396710222272 595065333408 1190130666816