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211356940089888 = 2533400361110689
BaseRepresentation
bin110000000011101001011111…
…010101011011101000100000
31000201100112012120001000211000
4300003221133111123220200
5210200333003130334023
62025304012101552000
762343015002304465
oct6003513725335040
91021315176030730
10211356940089888
1161387a7a68688a
121b856483715600
1390c1b4903c3c8
143a29a3263166c
151967d2bbd0243
hexc03a5f55ba20

211356940089888 has 96 divisors (see below), whose sum is σ = 616611750955200. Its totient is φ = 70434712332288.

The previous prime is 211356940089811. The next prime is 211356940089901. The reversal of 211356940089888 is 888980049653112.

211356940089888 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 5 + 69 + 400 + 89 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2113569400898882 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27096753 + ... + 34013936.

It is an arithmetic number, because the mean of its divisors is an integer number (6423039072450).

Almost surely, 2211356940089888 is an apocalyptic number.

It is an amenable number.

211356940089888 is an abundant number, since it is smaller than the sum of its proper divisors (405254810865312).

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

211356940089888 is a wasteful number, since it uses less digits than its factorization.

211356940089888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61114711 (or 61114697 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 211356940089888 in words is "two hundred eleven trillion, three hundred fifty-six billion, nine hundred forty million, eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4003 8006 12009 16012 24018 32024 36027 48036 64048 72054 96072 108081 128096 144108 192144 216162 288216 384288 432324 576432 864648 1152864 1729296 3458592 61110689 122221378 183332067 244442756 366664134 488885512 549996201 733328268 977771024 1099992402 1466656536 1649988603 1955542048 2199984804 2933313072 3299977206 4399969608 5866626144 6599954412 8799939216 13199908824 17599878432 26399817648 52799635296 244626088067 489252176134 733878264201 978504352268 1467756528402 1957008704536 2201634792603 2935513056804 3914017409072 4403269585206 5871026113608 6604904377809 7828034818144 8806539170412 11742052227216 13209808755618 17613078340824 23484104454432 26419617511236 35226156681648 52839235022472 70452313363296 105678470044944 211356940089888