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36970914764 = 22717831635741
BaseRepresentation
bin100010011011101000…
…110110001111001100
310112102120022001201102
4202123220312033030
51101204023233024
624552331002232
72446113406340
oct423350661714
9115376261642
1036970914764
1114752132513
1271b9599378
133642656534
141b0a193620
15e65aea1ae
hex89ba363cc

36970914764 has 96 divisors (see below), whose sum is σ = 79734606336. Its totient is φ = 14640030720.

The previous prime is 36970914733. The next prime is 36970914797. The reversal of 36970914764 is 46741907963.

36970914764 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6436934 + ... + 6442674.

It is an arithmetic number, because the mean of its divisors is an integer number (830568816).

Almost surely, 236970914764 is an apocalyptic number.

36970914764 is a gapful number since it is divisible by the number (34) 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 36970914764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39867303168).

36970914764 is an abundant number, since it is smaller than the sum of its proper divisors (42763691572).

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

36970914764 is a wasteful number, since it uses less digits than its factorization.

36970914764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 56.

The spelling of 36970914764 in words is "thirty-six billion, nine hundred seventy million, nine hundred fourteen thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 83 119 163 166 238 326 332 476 581 652 1141 1162 1411 2282 2324 2771 2822 4564 5542 5644 5741 9877 11084 11482 13529 19397 19754 22964 27058 38794 39508 40187 54116 77588 80374 94703 97597 160748 189406 195194 229993 378812 390388 459986 476503 683179 919972 935783 953006 1366358 1609951 1871566 1906012 2732716 3219902 3335521 3743132 6439804 6550481 6671042 8100551 13100962 13342084 15908311 16201102 26201924 31816622 32402204 56703857 63633244 77669989 111358177 113407714 155339978 222716354 226815428 310679956 445432708 543689923 1087379846 1320389813 2174759692 2640779626 5281559252 9242728691 18485457382 36970914764