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2135179264 = 214194
BaseRepresentation
bin111111101000100…
…0100000000000000
312111210201100022111
41333101010000000
513333101214024
6551512145104
7103624503301
oct17721040000
95453640274
102135179264
119a6286869
124b7098194
132804873aa
141638067a8
15c76b5a94
hex7f444000

2135179264 has 75 divisors (see below), whose sum is σ = 4507461287. Its totient is φ = 1011400704.

The previous prime is 2135179247. The next prime is 2135179271. The reversal of 2135179264 is 4629715312.

It is a happy number.

The square root of 2135179264 is 46208.

It is a perfect power (a square), and thus also a powerful number.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=152.

It is a Duffinian number.

Its product of digits (90720) is a multiple of the sum of its prime divisors (21).

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 112377847 + ... + 112377865.

Almost surely, 22135179264 is an apocalyptic number.

2135179264 is the 46208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135179264

2135179264 is an abundant number, since it is smaller than the sum of its proper divisors (2372282023).

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

2135179264 is an frugal number, since it uses more digits than its factorization.

2135179264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 21 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The cubic root of 2135179264 is about 1287.6903696135.

The spelling of 2135179264 in words is "two billion, one hundred thirty-five million, one hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2048 2432 2888 4096 4864 5776 6859 8192 9728 11552 13718 16384 19456 23104 27436 38912 46208 54872 77824 92416 109744 130321 155648 184832 219488 260642 311296 369664 438976 521284 739328 877952 1042568 1478656 1755904 2085136 2957312 3511808 4170272 5914624 7023616 8340544 14047232 16681088 28094464 33362176 56188928 66724352 112377856 133448704 266897408 533794816 1067589632 2135179264