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20151791152218 = 232113711232449441
BaseRepresentation
bin1001001010011111101000…
…10110100110110001011010
32122100111021222021222110100
410211033310112212301122
510120131332013332333
6110505334405200230
74146630112360155
oct445176426466132
978314258258410
1020151791152218
11646a365827380
122315676100076
13b323c8975c7b
144d94cd860c9c
1524e2dad22213
hex1253f45a6c5a

20151791152218 has 96 divisors (see below), whose sum is σ = 48962425217472. Its totient is φ = 5936266828800.

The previous prime is 20151791152201. The next prime is 20151791152249. The reversal of 20151791152218 is 81225119715102.

20151791152218 is a `hidden beast` number, since 2 + 0 + 1 + 51 + 79 + 1 + 1 + 522 + 1 + 8 = 666.

It is a super-2 number, since 2×201517911522182 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7002378 + ... + 9451818.

It is an arithmetic number, because the mean of its divisors is an integer number (510025262682).

Almost surely, 220151791152218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20151791152218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24481212608736).

20151791152218 is an abundant number, since it is smaller than the sum of its proper divisors (28810634065254).

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

20151791152218 is a wasteful number, since it uses less digits than its factorization.

20151791152218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450620 (or 2450617 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 45.

The spelling of 20151791152218 in words is "twenty trillion, one hundred fifty-one billion, seven hundred ninety-one million, one hundred fifty-two thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1123 1221 2246 2442 3369 3663 6738 7326 10107 12353 20214 24706 37059 41551 74118 83102 111177 124653 222354 249306 373959 457061 747918 914122 1371183 2449441 2742366 4113549 4898882 7348323 8227098 14696646 22044969 26943851 44089938 53887702 80831553 90629317 161663106 181258634 242494659 271887951 484989318 543775902 815663853 996922487 1631327706 1993844974 2750722243 2990767461 5501444486 5981534922 8252166729 8972302383 16504333458 17944604766 24756500187 30257944673 49513000374 60515889346 90773834019 101776722991 181547668038 203553445982 272321502057 305330168973 544643004114 610660337946 915990506919 1119543952901 1831981013838 2239087905802 3358631858703 6717263717406 10075895576109 20151791152218