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21913497749696 = 267712253130577
BaseRepresentation
bin1001111101110001000100…
…01111111100100011000000
32212120220120100001202001112
410332320202033330203000
510333012320410442241
6114334531043422452
74421124621361250
oct476704217744300
985526510052045
1021913497749696
116a8950a217963
12255ab96084a28
13c2c5845850c7
1455a894583960
15280048aec1eb
hex13ee223fc8c0

21913497749696 has 112 divisors (see below), whose sum is σ = 50400520699392. Its totient is φ = 9258510643200.

The previous prime is 21913497749677. The next prime is 21913497749699. The reversal of 21913497749696 is 69694779431912.

21913497749696 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (21913497749699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716650760 + ... + 716681336.

Almost surely, 221913497749696 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 21913497749696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200260349696).

21913497749696 is an abundant number, since it is smaller than the sum of its proper divisors (28487022949696).

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

21913497749696 is a wasteful number, since it uses less digits than its factorization.

21913497749696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53198 (or 53188 counting only the distinct ones).

The product of its digits is 1111065984, while the sum is 77.

The spelling of 21913497749696 in words is "twenty-one trillion, nine hundred thirteen billion, four hundred ninety-seven million, seven hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 3976 4544 7952 15904 22531 30577 31808 45062 61154 90124 122308 157717 180248 214039 244616 315434 360496 428078 489232 630868 720992 856156 978464 1261736 1441984 1599701 1712312 1956928 2170967 2523472 3199402 3424624 4341934 5046944 6398804 6849248 8683868 10093888 11197907 12797608 13698496 15196769 17367736 22395814 25595216 30393538 34735472 44791628 51190432 60787076 69470944 89583256 102380864 121574152 138941888 179166512 243148304 358333024 486296608 688930387 716666048 972593216 1377860774 2755721548 4822512709 5511443096 9645025418 11022886192 19290050836 22045772384 38580101672 44091544768 48914057477 77160203344 97828114954 154320406688 195656229908 308640813376 342398402339 391312459816 684796804678 782624919632 1369593609356 1565249839264 2739187218712 3130499678528 5478374437424 10956748874848 21913497749696