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11237492016 = 24331132111091
BaseRepresentation
bin10100111011100111…
…01000010100110000
31002000011022202001000
422131303220110300
5141003244221031
65055030242000
7545322051252
oct123563502460
932004282030
1011237492016
1148472a9093
1222174b6300
1310a11aaa7a
14788651cd2
1545b8523e6
hex29dce8530

11237492016 has 160 divisors (see below), whose sum is σ = 32725405440. Its totient is φ = 3691699200.

The previous prime is 11237492009. The next prime is 11237492017. The reversal of 11237492016 is 61029473211.

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

It is not an unprimeable number, because it can be changed into a prime (11237492017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10299631 + ... + 10300721.

It is an arithmetic number, because the mean of its divisors is an integer number (204533784).

Almost surely, 211237492016 is an apocalyptic number.

11237492016 is a gapful number since it is divisible by the number (16) 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 11237492016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362702720).

11237492016 is an abundant number, since it is smaller than the sum of its proper divisors (21487913424).

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

11237492016 is a wasteful number, since it uses less digits than its factorization.

11237492016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11237492016 in words is "eleven billion, two hundred thirty-seven million, four hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 211 216 226 339 422 432 452 633 678 844 904 1017 1091 1266 1356 1688 1808 1899 2034 2182 2532 2712 3051 3273 3376 3798 4068 4364 5064 5424 5697 6102 6546 7596 8136 8728 9819 10128 11394 12204 13092 15192 16272 17456 19638 22788 23843 24408 26184 29457 30384 39276 45576 47686 48816 52368 58914 71529 78552 91152 95372 117828 123283 143058 157104 190744 214587 230201 235656 246566 286116 369849 381488 429174 460402 471312 493132 572232 643761 690603 739698 858348 920804 986264 1109547 1144464 1287522 1381206 1479396 1716696 1841608 1972528 2071809 2219094 2575044 2762412 2958792 3328641 3433392 3683216 4143618 4438188 5150088 5524824 5917584 6215427 6657282 8287236 8876376 10300176 11049648 12430854 13314564 16574472 17752752 24861708 26012713 26629128 33148944 49723416 52025426 53258256 78038139 99446832 104050852 156076278 208101704 234114417 312152556 416203408 468228834 624305112 702343251 936457668 1248610224 1404686502 1872915336 2809373004 3745830672 5618746008 11237492016