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42902350964 = 221124117312497
BaseRepresentation
bin100111111101001011…
…011110110001110100
311002201221100020112122
4213331023132301310
51200331000212324
631413054135112
73046105652264
oct477513366164
9132657306478
1042902350964
1117216293300
128393ab1498
1340794673b5
14210dc357a4
1511b16dca5e
hex9fd2dec74

42902350964 has 72 divisors (see below), whose sum is σ = 85033242504. Its totient is φ = 18913945600.

The previous prime is 42902350921. The next prime is 42902350991. The reversal of 42902350964 is 46905320924.

It can be written as a sum of positive squares in 4 ways, for example, as 5549058064 + 37353292900 = 74492^2 + 193270^2 .

It is a super-2 number, since 2×429023509642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3426764 + ... + 3439260.

It is an arithmetic number, because the mean of its divisors is an integer number (1181017257).

Almost surely, 242902350964 is an apocalyptic number.

42902350964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42902350964 is a deficient number, since it is larger than the sum of its proper divisors (42130891540).

42902350964 is a wasteful number, since it uses less digits than its factorization.

42902350964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 42902350964 in words is "forty-two billion, nine hundred two million, three hundred fifty thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 41 44 82 121 164 173 242 346 451 484 692 902 1804 1903 3806 4961 7093 7612 9922 12497 14186 19844 20933 24994 28372 41866 49988 78023 83732 137467 156046 274934 312092 512377 549868 858253 1024754 1512137 1716506 2049508 2161981 3024274 3433012 4323962 5636147 6048548 8647924 11272294 22544588 23781791 47563582 61997617 88641221 95127164 123995234 177282442 247990468 261599701 354564884 523199402 975053431 1046398804 1950106862 3900213724 10725587741 21451175482 42902350964