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5120688128 = 21531712
BaseRepresentation
bin1001100010011011…
…11000000000000000
3111012212110220112212
410301031320000000
540441344010003
62204042041252
7240616062623
oct46115700000
914185426485
105120688128
112198549866
12baaaa9228
13637b66a9a
14368119dba
151ee845dd8
hex131378000

5120688128 has 96 divisors (see below), whose sum is σ = 10722574560. Its totient is φ = 2442854400.

The previous prime is 5120688073. The next prime is 5120688151. The reversal of 5120688128 is 8218860215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72122333 + ... + 72122403.

It is an arithmetic number, because the mean of its divisors is an integer number (111693485).

Almost surely, 25120688128 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 5120688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361287280).

5120688128 is an abundant number, since it is smaller than the sum of its proper divisors (5601886432).

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

5120688128 is an frugal number, since it uses more digits than its factorization.

5120688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The square root of 5120688128 is about 71558.9835590193. The cubic root of 5120688128 is about 1723.6249635058.

The spelling of 5120688128 in words is "five billion, one hundred twenty million, six hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 512 568 992 1024 1136 1984 2048 2201 2272 3968 4096 4402 4544 5041 7936 8192 8804 9088 10082 15872 16384 17608 18176 20164 31744 32768 35216 36352 40328 63488 70432 72704 80656 126976 140864 145408 156271 161312 253952 281728 290816 312542 322624 507904 563456 581632 625084 645248 1015808 1126912 1163264 1250168 1290496 2253824 2326528 2500336 2580992 4507648 5000672 5161984 9015296 10001344 10323968 18030592 20002688 20647936 36061184 40005376 41295872 72122368 80010752 82591744 160021504 165183488 320043008 640086016 1280172032 2560344064 5120688128