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46406644066640 = 24511134056524831
BaseRepresentation
bin10101000110100111000111…
…00010001110100101010000
320002022102122211000111012202
422203103203202032211100
522040311301340113030
6242410530140542332
712526524621066464
oct1243234342164520
9202272584014182
1046406644066640
1113871a46836490
125255b032519a8
131cb81878b8a70
14b66144a144a4
15557223a0a745
hex2a34e388e950

46406644066640 has 80 divisors (see below), whose sum is σ = 126758287950336. Its totient is φ = 15577055347200.

The previous prime is 46406644066583. The next prime is 46406644066681. The reversal of 46406644066640 is 4666044660464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×464066440666402 (a number of 28 digits) contains 22 as substring.

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, 2028250976 + ... + 2028273855.

Almost surely, 246406644066640 is an apocalyptic number.

46406644066640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46406644066640 is an abundant number, since it is smaller than the sum of its proper divisors (80351643883696).

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

46406644066640 is a wasteful number, since it uses less digits than its factorization.

46406644066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056524868 (or 4056524862 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 56.

The spelling of 46406644066640 in words is "forty-six trillion, four hundred six billion, six hundred forty-four million, sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 4056524831 8113049662 16226099324 20282624155 32452198648 40565248310 44621773141 52734822803 64904397296 81130496620 89243546282 105469645606 162260993240 178487092564 210939291212 223108865705 263674114015 324521986480 356974185128 421878582424 446217731410 527348228030 580083050833 713948370256 843757164848 892435462820 1054696456060 1160166101666 1784870925640 2109392912120 2320332203332 2900415254165 3569741851280 4218785824240 4640664406664 5800830508330 9281328813328 11601661016660 23203322033320 46406644066640