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211362442440 = 23356726288861
BaseRepresentation
bin1100010011011000101…
…1101110110011001000
3202012120012201120021220
43010312023232303020
511430332241124230
6241033142402040
721161521055232
oct3046613566310
9665505646256
10211362442440
11817026523a6
1234b68a30320
1316c153681b6
14a33117b252
155770c58d10
hex31362eecc8

211362442440 has 64 divisors (see below), whose sum is σ = 643551341760. Its totient is φ = 55522072320.

The previous prime is 211362442339. The next prime is 211362442457. The reversal of 211362442440 is 44244263112.

211362442440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13136391 + ... + 13152470.

It is an arithmetic number, because the mean of its divisors is an integer number (10055489715).

Almost surely, 2211362442440 is an apocalyptic number.

211362442440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211362442440 is an abundant number, since it is smaller than the sum of its proper divisors (432188899320).

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

211362442440 is a wasteful number, since it uses less digits than its factorization.

211362442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26288942 (or 26288938 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 211362442440 in words is "two hundred eleven billion, three hundred sixty-two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 26288861 52577722 78866583 105155444 131444305 157733166 210310888 262888610 315466332 394332915 525777220 630932664 788665830 1051554440 1577331660 1761353687 3154663320 3522707374 5284061061 7045414748 8806768435 10568122122 14090829496 17613536870 21136244244 26420305305 35227073740 42272488488 52840610610 70454147480 105681221220 211362442440