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23463636432 = 24337101130807
BaseRepresentation
bin10101110110100010…
…101010110111010000
32020120012222020012120
4111312202222313100
5341023142331212
614440135054240
71460310422205
oct256642526720
966505866176
1023463636432
119a5067a375
124669b11380
13229c151952
1411c82d9cac
15924d9388c
hex5768aadd0

23463636432 has 80 divisors (see below), whose sum is σ = 62869464192. Its totient is φ = 7534425600.

The previous prime is 23463636431. The next prime is 23463636433.

23463636432 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23463636431) and next prime (23463636433).

It is a super-2 number, since 2×234636364322 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23463636431) 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, 113973 + ... + 244779.

Almost surely, 223463636432 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 23463636432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31434732096).

23463636432 is an abundant number, since it is smaller than the sum of its proper divisors (39405827760).

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

23463636432 is a wasteful number, since it uses less digits than its factorization.

23463636432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130956 (or 130950 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 42.

The spelling of 23463636432 in words is "twenty-three billion, four hundred sixty-three million, six hundred thirty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 101 111 148 202 222 296 303 404 444 592 606 808 888 1212 1616 1776 2424 3737 4848 7474 11211 14948 22422 29896 44844 59792 89688 130807 179376 261614 392421 523228 784842 1046456 1569684 2092912 3139368 4839859 6278736 9679718 13211507 14519577 19359436 26423014 29039154 38718872 39634521 52846028 58078308 77437744 79269042 105692056 116156616 158538084 211384112 232313232 317076168 488825759 634152336 977651518 1466477277 1955303036 2932954554 3910606072 5865909108 7821212144 11731818216 23463636432