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1334662009992 = 2333371049159199
BaseRepresentation
bin10011011011000000000…
…011100001010010001000
311201120222220001000001000
4103123000003201102020
5133331341433304432
62501045114455000
7165266111621163
oct23330003412210
94646886030030
101334662009992
11475032a01343
121967bb734460
1398b202ab61c
1448852c32ada
1524ab6e9057c
hex136c00e1488

1334662009992 has 128 divisors (see below), whose sum is σ = 3811248000000. Its totient is φ = 432447994368.

The previous prime is 1334662009973. The next prime is 1334662010039. The reversal of 1334662009992 is 2999002664331.

1334662009992 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 620 + 0 + 9 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8304009 + ... + 8463207.

It is an arithmetic number, because the mean of its divisors is an integer number (29775375000).

Almost surely, 21334662009992 is an apocalyptic number.

1334662009992 is a gapful number since it is divisible by the number (12) 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 1334662009992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905624000000).

1334662009992 is an abundant number, since it is smaller than the sum of its proper divisors (2476585990008).

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

1334662009992 is a wasteful number, since it uses less digits than its factorization.

1334662009992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160300 (or 160290 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 1334662009992 in words is "one trillion, three hundred thirty-four billion, six hundred sixty-two million, nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1049 1332 1998 2098 2664 3147 3996 4196 6294 7992 8392 9441 12588 18882 25176 28323 37764 38813 56646 75528 77626 113292 116439 155252 159199 226584 232878 310504 318398 349317 465756 477597 636796 698634 931512 955194 1047951 1273592 1397268 1432791 1910388 2095902 2794536 2865582 3820776 4191804 4298373 5731164 5890363 8383608 8596746 11462328 11780726 17193492 17671089 23561452 34386984 35342178 47122904 53013267 70684356 106026534 141368712 159039801 166999751 212053068 318079602 333999502 424106136 500999253 636159204 667999004 1001998506 1272318408 1335998008 1502997759 2003997012 3005995518 4007994024 4508993277 6011991036 6178990787 9017986554 12023982072 12357981574 18035973108 18536972361 24715963148 36071946216 37073944722 49431926296 55610917083 74147889444 111221834166 148295778888 166832751249 222443668332 333665502498 444887336664 667331004996 1334662009992