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11357490816 = 27347156491
BaseRepresentation
bin10101001001111010…
…11000111010000000
31002022112010022110000
422210331120322000
5141230004201231
65114554240000
7551310036060
oct124475307200
932275108400
1011357490816
1148a9009a51
12224b726000
1310c0004289
1479a56b3a0
154671576e6
hex2a4f58e80

11357490816 has 160 divisors (see below), whose sum is σ = 38628485280. Its totient is φ = 3244976640.

The previous prime is 11357490797. The next prime is 11357490829. The reversal of 11357490816 is 61809475311.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5670 + ... + 150821.

It is an arithmetic number, because the mean of its divisors is an integer number (241428033).

Almost surely, 211357490816 is an apocalyptic number.

11357490816 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 11357490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19314242640).

11357490816 is an abundant number, since it is smaller than the sum of its proper divisors (27270994464).

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

11357490816 is an equidigital number, since it uses as much as digits as its factorization.

11357490816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156524 (or 156503 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11357490816 in words is "eleven billion, three hundred fifty-seven million, four hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 156491 312982 469473 625964 938946 1095437 1251928 1408419 1877892 2190874 2503856 2816838 3286311 3755784 4225257 4381748 5007712 5633676 6572622 7511568 8450514 8763496 9858933 10015424 11267352 12675771 13145244 15023136 16901028 17526992 19717866 20030848 22534704 25351542 26290488 29576799 30046272 33802056 35053984 39435732 45069408 50703084 52580976 59153598 60092544 67604112 70107968 78871464 88730397 90138816 101406168 105161952 118307196 135208224 140215936 157742928 177460794 180277632 202812336 210323904 236614392 270416448 315485856 354921588 405624672 420647808 473228784 540832896 630971712 709843176 811249344 946457568 1261943424 1419686352 1622498688 1892915136 2839372704 3785830272 5678745408 11357490816