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42015789367956 = 22321167105260221
BaseRepresentation
bin10011000110110100100000…
…01100110100001010010100
312111202200002121020212020100
421203122100030310022110
521001341314034233311
6225205442010134100
711564353300003365
oct1143322014641224
9174680077225210
1042015789367956
1112429883826788
124866b36a21330
131a5a0c20775c1
14a53809d4bb6c
154ccdd8e85a56
hex263690334294

42015789367956 has 18 divisors (see below), whose sum is σ = 106206578680202. Its totient is φ = 14005263122640.

The previous prime is 42015789367949. The next prime is 42015789367973. The reversal of 42015789367956 is 65976398751024.

42015789367956 is a `hidden beast` number, since 4 + 20 + 157 + 8 + 9 + 367 + 95 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39396460755600 + 2619328612356 = 6276660^2 + 1618434^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×420157893679564 (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583552630075 + ... + 583552630146.

It is a 1-persistent number, because it is pandigital, but 2⋅42015789367956 = 84031578735912 is not.

Almost surely, 242015789367956 is an apocalyptic number.

It is an amenable number.

42015789367956 is an abundant number, since it is smaller than the sum of its proper divisors (64190789312246).

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

42015789367956 is a wasteful number, since it uses less digits than its factorization.

42015789367956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167105260231 (or 1167105260226 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 42015789367956 in words is "forty-two trillion, fifteen billion, seven hundred eighty-nine million, three hundred sixty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1167105260221 2334210520442 3501315780663 4668421040884 7002631561326 10503947341989 14005263122652 21007894683978 42015789367956