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6933645090 = 2335232938501
BaseRepresentation
bin1100111010100011…
…10000011100100010
3122220012212122222000
412131101300130202
5103200003120330
63104004024430
7333552003501
oct63521603442
918805778860
106933645090
112a389531a9
121416092116
13866642598
1449ac06838
152a8aad560
hex19d470722

6933645090 has 128 divisors (see below), whose sum is σ = 19959436800. Its totient is φ = 1707552000.

The previous prime is 6933645077. The next prime is 6933645133. The reversal of 6933645090 is 905463396.

It is a happy number.

It is a super-2 number, since 2×69336450902 = 96150868468162216200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160840 + ... + 199340.

It is an arithmetic number, because the mean of its divisors is an integer number (155933100).

Almost surely, 26933645090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6933645090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979718400).

6933645090 is an abundant number, since it is smaller than the sum of its proper divisors (13025791710).

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

6933645090 is a wasteful number, since it uses less digits than its factorization.

6933645090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38569 (or 38563 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 6933645090 is about 83268.5119958319. The cubic root of 6933645090 is about 1906.8675838379.

The spelling of 6933645090 in words is "six billion, nine hundred thirty-three million, six hundred forty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 29 30 45 46 54 58 69 87 90 115 135 138 145 174 207 230 261 270 290 345 414 435 522 621 667 690 783 870 1035 1242 1305 1334 1566 2001 2070 2610 3105 3335 3915 4002 6003 6210 6670 7830 10005 12006 18009 20010 30015 36018 38501 60030 77002 90045 115503 180090 192505 231006 346509 385010 577515 693018 885523 1039527 1116529 1155030 1732545 1771046 2079054 2233058 2656569 3349587 3465090 4427615 5197635 5313138 5582645 6699174 7969707 8855230 10048761 10395270 11165290 13282845 15939414 16747935 20097522 23909121 25680167 26565690 30146283 33495870 39848535 47818242 50243805 51360334 60292566 77040501 79697070 100487610 119545605 128400835 150731415 154081002 231121503 239091210 256801670 301462830 385202505 462243006 693364509 770405010 1155607515 1386729018 2311215030 3466822545 6933645090