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11920093632 = 2632199103993
BaseRepresentation
bin10110001100111111…
…00011000111000000
31010202201202111102100
423012133203013000
5143403020444012
65250452550400
7601251060366
oct130637430700
933681674370
1011920093632
115067644857
122388022400
13117c737c55
1481117b636
1549b7398dc
hex2c67e31c0

11920093632 has 84 divisors (see below), whose sum is σ = 34338818800. Its totient is φ = 3953359872.

The previous prime is 11920093621. The next prime is 11920093637. The reversal of 11920093632 is 23639002911.

It is a happy number.

11920093632 is a `hidden beast` number, since 1 + 19 + 2 + 0 + 0 + 9 + 3 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11920093637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62628 + ... + 166620.

Almost surely, 211920093632 is an apocalyptic number.

11920093632 is a gapful number since it is divisible by the number (12) 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 11920093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169409400).

11920093632 is an abundant number, since it is smaller than the sum of its proper divisors (22418725168).

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

11920093632 is a wasteful number, since it uses less digits than its factorization.

11920093632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104210 (or 104197 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 11920093632 in words is "eleven billion, nine hundred twenty million, ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 199 288 398 576 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 12736 14328 19104 28656 38208 57312 103993 114624 207986 311979 415972 623958 831944 935937 1247916 1663888 1871874 2495832 3327776 3743748 4991664 6655552 7487496 9983328 14974992 19966656 20694607 29949984 41389214 59899968 62083821 82778428 124167642 165556856 186251463 248335284 331113712 372502926 496670568 662227424 745005852 993341136 1324454848 1490011704 1986682272 2980023408 3973364544 5960046816 11920093632