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2137102974 = 233296412129
BaseRepresentation
bin111111101100001…
…1001101001111110
312111221100002011000
41333120121221332
513334044243344
6552021311130
7103650034626
oct17730315176
95457302130
102137102974
119a7380106
124b78654a6
132809abb96
14163b87886
15c7945a69
hex7f619a7e

2137102974 has 64 divisors (see below), whose sum is σ = 4922856000. Its totient is φ = 686407680.

The previous prime is 2137102969. The next prime is 2137102987. The reversal of 2137102974 is 4792017312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002742 + ... + 1004870.

It is an arithmetic number, because the mean of its divisors is an integer number (76919625).

Almost surely, 22137102974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137102974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461428000).

2137102974 is an abundant number, since it is smaller than the sum of its proper divisors (2785753026).

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

2137102974 is a wasteful number, since it uses less digits than its factorization.

2137102974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2137102974 is about 46228.8110814025. The cubic root of 2137102974 is about 1288.0769724809.

It can be divided in two parts, 2137 and 102974, that added together give a triangular number (105111 = T458).

The spelling of 2137102974 in words is "two billion, one hundred thirty-seven million, one hundred two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 641 783 1282 1566 1923 2129 3846 4258 5769 6387 11538 12774 17307 18589 19161 34614 37178 38322 55767 57483 61741 111534 114966 123482 167301 185223 334602 370446 501903 555669 1003806 1111338 1364689 1667007 2729378 3334014 4094067 8188134 12282201 24564402 36846603 39575981 73693206 79151962 118727943 237455886 356183829 712367658 1068551487 2137102974