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5639520672 = 253826861
BaseRepresentation
bin1010100000010010…
…00100000110100000
3112120000202100000000
411100021010012200
543022204130142
62331334300000
7256516064142
oct52011040640
915500670000
105639520672
1124343a9395
1211147b7600
136bb4b3aa6
143b6db4c92
1523017e14c
hex1502441a0

5639520672 has 108 divisors (see below), whose sum is σ = 16653983346. Its totient is φ = 1879770240.

The previous prime is 5639520671. The next prime is 5639520683. The reversal of 5639520672 is 2760259365.

5639520672 is a `hidden beast` number, since 5 + 63 + 9 + 520 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5601624336 + 37896336 = 74844^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (5639520671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196522 + ... + 223382.

Almost surely, 25639520672 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 5639520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326991673).

5639520672 is an abundant number, since it is smaller than the sum of its proper divisors (11014462674).

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

5639520672 is an frugal number, since it uses more digits than its factorization.

5639520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26895 (or 26866 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5639520672 is about 75096.7420864581. The cubic root of 5639520672 is about 1779.9756626728.

The spelling of 5639520672 in words is "five billion, six hundred thirty-nine million, five hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 23328 26244 26861 34992 52488 53722 69984 80583 104976 107444 161166 209952 214888 241749 322332 429776 483498 644664 725247 859552 966996 1289328 1450494 1933992 2175741 2578656 2900988 3867984 4351482 5801976 6527223 7735968 8702964 11603952 13054446 17405928 19581669 23207904 26108892 34811856 39163338 52217784 58745007 69623712 78326676 104435568 117490014 156653352 176235021 208871136 234980028 313306704 352470042 469960056 626613408 704940084 939920112 1409880168 1879840224 2819760336 5639520672