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6129975440 = 245739103687
BaseRepresentation
bin1011011010110000…
…00000000010010000
3120211012122000110102
411231120000002100
5100023233203230
62452134351532
7304622634341
oct55530000220
916735560412
106129975440
112666236306
121230abb5a8
13768ca6304
144221a40c8
1525d25e045
hex16d600090

6129975440 has 40 divisors (see below), whose sum is σ = 14271616320. Its totient is φ = 2448648576.

The previous prime is 6129975361. The next prime is 6129975443. The reversal of 6129975440 is 445799216.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (6129975443) 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, 7277 + ... + 110963.

It is an arithmetic number, because the mean of its divisors is an integer number (356790408).

Almost surely, 26129975440 is an apocalyptic number.

It is an amenable number.

6129975440 is an abundant number, since it is smaller than the sum of its proper divisors (8141640880).

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

6129975440 is a wasteful number, since it uses less digits than its factorization.

6129975440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104439 (or 104433 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 6129975440 is about 78294.1596800170. The cubic root of 6129975440 is about 1830.1481401372.

The spelling of 6129975440 in words is "six billion, one hundred twenty-nine million, nine hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 739 1478 2956 3695 5912 7390 11824 14780 29560 59120 103687 207374 414748 518435 829496 1036870 1658992 2073740 4147480 8294960 76624693 153249386 306498772 383123465 612997544 766246930 1225995088 1532493860 3064987720 6129975440