Search a number
-
+
11631352640 = 26552369499
BaseRepresentation
bin10101101010100100…
…00101101101000000
31010000121102221020112
422311102011231000
5142310111241030
65202100130452
7561143603045
oct126522055500
933017387215
1011631352640
114a29660436
122307396a28
13113497caab
147c4a991cc
15481201a95
hex2b5485b40

11631352640 has 56 divisors (see below), whose sum is σ = 27750516000. Its totient is φ = 4643578368.

The previous prime is 11631352583. The next prime is 11631352651. The reversal of 11631352640 is 4625313611.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11631352597 and 11631352606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132611 + ... + 202109.

Almost surely, 211631352640 is an apocalyptic number.

11631352640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11631352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875258000).

11631352640 is an abundant number, since it is smaller than the sum of its proper divisors (16119163360).

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

11631352640 is an equidigital number, since it uses as much as digits as its factorization.

11631352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70039 (or 70029 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 11631352640 in words is "eleven billion, six hundred thirty-one million, three hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 523 1046 2092 2615 4184 5230 8368 10460 16736 20920 33472 41840 69499 83680 138998 167360 277996 347495 555992 694990 1111984 1389980 2223968 2779960 4447936 5559920 11119840 22239680 36347977 72695954 145391908 181739885 290783816 363479770 581567632 726959540 1163135264 1453919080 2326270528 2907838160 5815676320 11631352640