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11213307936 = 253289437473
BaseRepresentation
bin10100111000101110…
…11000000000100000
31001221110211001201100
422130113120000200
5140431101323221
65052404034400
7544606354605
oct123427300040
931843731640
1011213307936
114834690246
12220b392a00
13109919106c
147853586ac
15459676926
hex29c5d8020

11213307936 has 72 divisors (see below), whose sum is σ = 32246208540. Its totient is φ = 3695763456.

The previous prime is 11213307923. The next prime is 11213307943. The reversal of 11213307936 is 63970331211.

It can be written as a sum of positive squares in 2 ways, for example, as 9436179600 + 1777128336 = 97140^2 + 42156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11213307936.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193105 + ... + 244368.

Almost surely, 211213307936 is an apocalyptic number.

11213307936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11213307936 is an abundant number, since it is smaller than the sum of its proper divisors (21032900604).

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

11213307936 is a wasteful number, since it uses less digits than its factorization.

11213307936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437578 (or 437567 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 11213307936 in words is "eleven billion, two hundred thirteen million, three hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 437473 874946 1312419 1749892 2624838 3499784 3937257 5249676 6999568 7874514 10499352 13999136 15749028 20998704 31498056 38935097 41997408 62996112 77870194 116805291 125992224 155740388 233610582 311480776 350415873 467221164 622961552 700831746 934442328 1245923104 1401663492 1868884656 2803326984 3737769312 5606653968 11213307936