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215151006664 = 231137396716657
BaseRepresentation
bin1100100001011111111…
…1111101001111001000
3202120100020120120101101
43020113333331033020
512011112124203124
6242501120431144
721354433245046
oct3102777751710
9676306516341
10215151006664
1183277152810
12358457784b4
131739a22a389
14a5b03b3396
1558e3666644
hex3217ffd3c8

215151006664 has 64 divisors (see below), whose sum is σ = 452116776960. Its totient is φ = 95123082240.

The previous prime is 215151006659. The next prime is 215151006683. The reversal of 215151006664 is 466600151512.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12908224 + ... + 12924880.

It is an arithmetic number, because the mean of its divisors is an integer number (7064324640).

Almost surely, 2215151006664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215151006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226058388480).

215151006664 is an abundant number, since it is smaller than the sum of its proper divisors (236965770296).

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

215151006664 is a wasteful number, since it uses less digits than its factorization.

215151006664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20678 (or 20674 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 215151006664 in words is "two hundred fifteen billion, one hundred fifty-one million, six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 3967 7934 15868 16657 31736 33314 43637 66628 87274 133256 146779 174548 183227 293558 349096 366454 587116 616309 732908 1174232 1232618 1465816 1614569 2465236 3229138 4930472 6458276 6779399 12916552 13558798 27117596 54235192 66078319 132156638 264313276 528626552 726861509 1453723018 2444897803 2907446036 4889795606 5814892072 9779591212 19559182424 26893875833 53787751666 107575503332 215151006664