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42270631215164 = 2211192231249181537
BaseRepresentation
bin10011001110001111001011…
…11101010100000000111100
312112200000212222011001001222
421213013211331110000330
521020030223042341124
6225522505423252512
711621644434653642
oct1147074575240074
9175600788131058
1042270631215164
1112517968367450
1248a83b8a4a138
131a781462a0331
14a61ca3813192
154d4851db625e
hex2671e5f5403c

42270631215164 has 96 divisors (see below), whose sum is σ = 85395475200000. Its totient is φ = 18106429685760.

The previous prime is 42270631215161. The next prime is 42270631215167. The reversal of 42270631215164 is 46151213607224.

42270631215164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42270631215161) and next prime (42270631215167).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42270631215161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 232757804 + ... + 232939340.

It is an arithmetic number, because the mean of its divisors is an integer number (889536200000).

Almost surely, 242270631215164 is an apocalyptic number.

42270631215164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42270631215164 is an abundant number, since it is smaller than the sum of its proper divisors (43124843984836).

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

42270631215164 is a wasteful number, since it uses less digits than its factorization.

42270631215164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183043 (or 183041 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 42270631215164 in words is "forty-two trillion, two hundred seventy billion, six hundred thirty-one million, two hundred fifteen thousand, one hundred sixty-four".

Divisors: 1 2 4 11 19 22 38 44 76 209 223 418 446 836 892 1249 2453 2498 4237 4906 4996 8474 9812 13739 16948 23731 27478 46607 47462 54956 93214 94924 181537 186428 261041 278527 363074 522082 557054 726148 1044164 1114108 1996907 3063797 3449203 3993814 5292013 6127594 6898406 7987628 10584026 12255188 13796812 21168052 37941233 40482751 58212143 75882466 80965502 116424286 151764932 161931004 226739713 232848572 445310261 453479426 769172269 890620522 906958852 1538344538 1781241044 2494136843 3076689076 4308054547 4988273686 8460894959 8616109094 9976547372 16921789918 17232218188 33843579836 47388600017 50562955999 94777200034 101125911998 189554400068 202251823996 556192515989 960696163981 1112385031978 1921392327962 2224770063956 3842784655924 10567657803791 21135315607582 42270631215164