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2134576128 = 21031936571
BaseRepresentation
bin111111100111011…
…0000110000000000
312111202120200222010
41333032300300000
513332422414003
6551451212520
7103616412006
oct17716606000
95452520863
102134576128
119a5a04703
124b6a47140
132803059c9
141636caa76
15c75e7003
hex7f3b0c00

2134576128 has 88 divisors (see below), whose sum is σ = 5989030720. Its totient is φ = 674058240.

The previous prime is 2134576099. The next prime is 2134576141. The reversal of 2134576128 is 8216754312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40083 + ... + 76653.

Almost surely, 22134576128 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 2134576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994515360).

2134576128 is an abundant number, since it is smaller than the sum of its proper divisors (3854454592).

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

2134576128 is a wasteful number, since it uses less digits than its factorization.

2134576128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36613 (or 36595 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2134576128 is about 46201.4732232642. The cubic root of 2134576128 is about 1287.5691111674.

The spelling of 2134576128 in words is "two billion, one hundred thirty-four million, five hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 29184 36571 58368 73142 109713 146284 219426 292568 438852 585136 694849 877704 1170272 1389698 1755408 2084547 2340544 2779396 3510816 4169094 4681088 5558792 7021632 8338188 9362176 11117584 14043264 16676376 18724352 22235168 28086528 33352752 37448704 44470336 56173056 66705504 88940672 112346112 133411008 177881344 266822016 355762688 533644032 711525376 1067288064 2134576128