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106020613504 = 271363714311
BaseRepresentation
bin110001010111101010…
…0100010110110000000
3101010122202111012100001
41202233110202312000
53214112234113004
6120412153405344
710442201226361
oct1425724426600
9333582435301
10106020613504
1140a65966143
121866a109854
139cc7c44c40
1451ba8b7b68
152b57a951a4
hex18af522d80

106020613504 has 32 divisors (see below), whose sum is σ = 227460093840. Its totient is φ = 48932590080.

The previous prime is 106020613463. The next prime is 106020613507. The reversal of 106020613504 is 405316020601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1060206135042 (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 (106020613507) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31855492 + ... + 31858819.

Almost surely, 2106020613504 is an apocalyptic number.

It is an amenable number.

106020613504 is an abundant number, since it is smaller than the sum of its proper divisors (121439480336).

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

106020613504 is an equidigital number, since it uses as much as digits as its factorization.

106020613504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63714338 (or 63714326 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 106020613504 in words is "one hundred six billion, twenty million, six hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 63714311 127428622 254857244 509714488 828286043 1019428976 1656572086 2038857952 3313144172 4077715904 6626288344 8155431808 13252576688 26505153376 53010306752 106020613504