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106024908664 = 233137113102253
BaseRepresentation
bin110001010111110010…
…0111011011101111000
3101010200001120102012001
41202233210323131320
53214114334034124
6120412425430344
710442252565613
oct1425744733570
9333601512161
10106024908664
1140a6832a164
121866b63b3b4
139cc8ab9c5c
1451bb2b517a
152b58142b44
hex18af93b778

106024908664 has 64 divisors (see below), whose sum is σ = 212622877440. Its totient is φ = 49473607680.

The previous prime is 106024908659. The next prime is 106024908667. The reversal of 106024908664 is 466809420601.

It is a super-2 number, since 2×1060249086642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106024908667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985762 + ... + 1088014.

It is an arithmetic number, because the mean of its divisors is an integer number (3322232460).

Almost surely, 2106024908664 is an apocalyptic number.

It is an amenable number.

106024908664 is an abundant number, since it is smaller than the sum of its proper divisors (106597968776).

106024908664 is a wasteful number, since it uses less digits than its factorization.

106024908664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102440 (or 102436 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 106024908664 in words is "one hundred six billion, twenty-four million, nine hundred eight thousand, six hundred sixty-four".

Divisors: 1 2 4 8 31 37 62 74 113 124 148 226 248 296 452 904 1147 2294 3503 4181 4588 7006 8362 9176 14012 16724 28024 33448 102253 129611 204506 259222 409012 518444 818024 1036888 3169843 3783361 6339686 7566722 11554589 12679372 15133444 23109178 25358744 30266888 46218356 92436712 117284191 234568382 358192259 427519793 469136764 716384518 855039586 938273528 1432769036 1710079172 2865538072 3420158344 13253113583 26506227166 53012454332 106024908664