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2638030128 = 243676831201
BaseRepresentation
bin1001110100111101…
…0010010100110000
320210211220211000120
42131033102110300
520400313431003
61113434050240
7122241612636
oct23517222460
96724824016
102638030128
111134110098
12617579980
133306c9c96
141b0501356
151068e3853
hex9d3d2530

2638030128 has 80 divisors (see below), whose sum is σ = 6932520576. Its totient is φ = 864230400.

The previous prime is 2638030027. The next prime is 2638030133. The reversal of 2638030128 is 8210308362.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2195928 + ... + 2197128.

Almost surely, 22638030128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638030128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466260288).

2638030128 is an abundant number, since it is smaller than the sum of its proper divisors (4294490448).

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

2638030128 is a wasteful number, since it uses less digits than its factorization.

2638030128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2638030128 is about 51361.7574465672. The cubic root of 2638030128 is about 1381.7408066995.

The spelling of 2638030128 in words is "two billion, six hundred thirty-eight million, thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 683 804 1072 1201 1366 1608 2049 2402 2732 3216 3603 4098 4804 5464 7206 8196 9608 10928 14412 16392 19216 28824 32784 45761 57648 80467 91522 137283 160934 183044 241401 274566 321868 366088 482802 549132 643736 732176 820283 965604 1098264 1287472 1640566 1931208 2196528 2460849 3281132 3862416 4921698 6562264 9843396 13124528 19686792 39373584 54958961 109917922 164876883 219835844 329753766 439671688 659507532 879343376 1319015064 2638030128