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18822969216 = 27342962603
BaseRepresentation
bin10001100001111011…
…111011011110000000
31210120210201220120000
4101201323323132000
5302022140003331
612351441320000
71234310412162
oct214173733600
953523656500
1018822969216
117a8a091407
123793936000
131a0c89620c
14ca7c54932
1575276b0e6
hex461efb780

18822969216 has 160 divisors (see below), whose sum is σ = 57949392600. Its totient is φ = 6057870336.

The previous prime is 18822969203. The next prime is 18822969233. The reversal of 18822969216 is 61296922881.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 269371 + ... + 331973.

Almost surely, 218822969216 is an apocalyptic number.

18822969216 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 18822969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28974696300).

18822969216 is an abundant number, since it is smaller than the sum of its proper divisors (39126423384).

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

18822969216 is an equidigital number, since it uses as much as digits as its factorization.

18822969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62658 (or 62637 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 18822969216 in words is "eighteen billion, eight hundred twenty-two million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 3456 3712 4176 4698 5184 5568 6264 8352 9396 10368 11136 12528 16704 18792 25056 33408 37584 50112 62603 75168 100224 125206 150336 187809 250412 300672 375618 500824 563427 751236 1001648 1126854 1502472 1690281 1815487 2003296 2253708 3004944 3380562 3630974 4006592 4507416 5070843 5446461 6009888 6761124 7261948 8013184 9014832 10141686 10892922 12019776 13522248 14523896 16339383 18029664 20283372 21785844 24039552 27044496 29047792 32678766 36059328 40566744 43571688 49018149 54088992 58095584 65357532 72118656 81133488 87143376 98036298 108177984 116191168 130715064 147054447 162266976 174286752 196072596 216355968 232382336 261430128 294108894 324533952 348573504 392145192 522860256 588217788 649067904 697147008 784290384 1045720512 1176435576 1568580768 2091441024 2352871152 3137161536 4705742304 6274323072 9411484608 18822969216