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36199034688 = 2631943230767
BaseRepresentation
bin100001101101101000…
…010110111101000000
310110102202212111022110
4201231220112331000
51043113423102223
624343554535320
72421021501165
oct415550267500
9113382774273
1036199034688
11143964585a3
127022b97540
13354b76a96b
141a7586806c
15e1ce79d93
hex86da16f40

36199034688 has 112 divisors (see below), whose sum is σ = 103162526720. Its totient is φ = 11165382144.

The previous prime is 36199034687. The next prime is 36199034701. The reversal of 36199034688 is 88643099163.

It is a happy number.

It is a super-2 number, since 2×361990346882 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) 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 (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36199034687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41481 + ... + 272247.

Almost surely, 236199034688 is an apocalyptic number.

36199034688 is a gapful number since it is divisible by the number (38) 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 36199034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51581263360).

36199034688 is an abundant number, since it is smaller than the sum of its proper divisors (66963492032).

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

36199034688 is a wasteful number, since it uses less digits than its factorization.

36199034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230844 (or 230834 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 36199034688 in words is "thirty-six billion, one hundred ninety-nine million, thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 129 152 172 192 228 258 304 344 456 516 608 688 817 912 1032 1216 1376 1634 1824 2064 2451 2752 3268 3648 4128 4902 6536 8256 9804 13072 19608 26144 39216 52288 78432 156864 230767 461534 692301 923068 1384602 1846136 2769204 3692272 4384573 5538408 7384544 8769146 9922981 11076816 13153719 14769088 17538292 19845962 22153632 26307438 29768943 35076584 39691924 44307264 52614876 59537886 70153168 79383848 105229752 119075772 140306336 158767696 188536639 210459504 238151544 280612672 317535392 377073278 420919008 476303088 565609917 635070784 754146556 841838016 952606176 1131219834 1508293112 1905212352 2262439668 3016586224 4524879336 6033172448 9049758672 12066344896 18099517344 36199034688