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13644866907 = 347315397151
BaseRepresentation
bin11001011010100110…
…00010010101011011
31022012221020001120000
430231103002111123
5210421041220112
610133544504043
7662063312040
oct145523022533
938187201500
1013644866907
115872198511
12278977b023
131395b79459
149362711c7
1554cd837dc
hex32d4c255b

13644866907 has 160 divisors (see below), whose sum is σ = 24916598784. Its totient is φ = 7278336000.

The previous prime is 13644866903. The next prime is 13644866971. The reversal of 13644866907 is 70966844631.

13644866907 is a `hidden beast` number, since 13 + 64 + 486 + 6 + 90 + 7 = 666.

13644866907 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13644866907 - 22 = 13644866903 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13644866903) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 90363282 + ... + 90363432.

Almost surely, 213644866907 is an apocalyptic number.

13644866907 is a deficient number, since it is larger than the sum of its proper divisors (11271731877).

13644866907 is a wasteful number, since it uses less digits than its factorization.

13644866907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13644866907 in words is "thirteen billion, six hundred forty-four million, eight hundred sixty-six thousand, nine hundred seven".

Divisors: 1 3 7 9 21 27 31 53 63 81 93 97 151 159 189 217 279 291 371 453 477 567 651 679 837 873 1057 1113 1359 1431 1643 1953 2037 2511 2619 3007 3171 3339 4077 4293 4681 4929 5141 5859 6111 7857 8003 9021 9513 10017 11501 12231 14043 14647 14787 15423 17577 18333 21049 24009 27063 28539 30051 32767 34503 35987 42129 43941 44361 46269 54999 56021 63147 72027 81189 85617 98301 102529 103509 107961 126387 131823 133083 138807 159371 168063 189441 216081 243567 248093 294903 307587 310527 323883 379161 395469 416421 454057 478113 504189 568323 648243 744279 776291 884709 922761 931581 971649 1115597 1186407 1362171 1434339 1512567 1704969 1736651 2232837 2328873 2654127 2768283 2914947 3178399 3346791 4086513 4303017 4537701 5209953 5434037 6698511 6986619 8304849 9535197 10040373 12259539 12909051 15629859 16302111 20095533 20959857 24065021 28605591 30121119 36778617 46889577 48906333 62879571 72195063 85816773 90363357 140668731 146718999 168455147 216585189 257450319 440156997 505365441 649755567 1516096323 1949266701 4548288969 13644866907