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107138756748 = 22330839289511
BaseRepresentation
bin110001111000111110…
…1111011000010001100
3101020112200110202111210
41203301331323002030
53223410010203443
6121115135214420
710511666256252
oct1436175730214
9336480422453
10107138756748
114148a042771
1218920677410
13a1457a8b6a
1452851ba5d2
152bc0d11c33
hex18f1f7b08c

107138756748 has 24 divisors (see below), whose sum is σ = 249999402240. Its totient is φ = 35711637520.

The previous prime is 107138756731. The next prime is 107138756749. The reversal of 107138756748 is 847657831701.

It is a super-5 number, since 5×1071387567485 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (107138756749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225313 + ... + 514823.

It is an arithmetic number, because the mean of its divisors is an integer number (10416641760).

Almost surely, 2107138756748 is an apocalyptic number.

It is an amenable number.

107138756748 is an abundant number, since it is smaller than the sum of its proper divisors (142860645492).

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

107138756748 is a wasteful number, since it uses less digits than its factorization.

107138756748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320357 (or 320355 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 107138756748 in words is "one hundred seven billion, one hundred thirty-eight million, seven hundred fifty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 30839 61678 92517 123356 185034 289511 370068 579022 868533 1158044 1737066 3474132 8928229729 17856459458 26784689187 35712918916 53569378374 107138756748