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42327569755044 = 22327419601667013
BaseRepresentation
bin10011001111111001001111…
…10000100110101110100100
312112212110212010001120001100
421213330213300212232210
521021443330324130134
6230005003410000100
711626031431400640
oct1147744760465644
9175773763046040
1042327569755044
111253a026716182
1248b7449576030
131a8061b6a7552
14a64945861c20
154d6085984999
hex267f27c26ba4

42327569755044 has 144 divisors (see below), whose sum is σ = 122775612785280. Its totient is φ = 12044635891200.

The previous prime is 42327569755019. The next prime is 42327569755057. The reversal of 42327569755044 is 44055796572324.

42327569755044 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 7 + 56 + 9 + 75 + 504 + 4 = 666.

It is a super-2 number, since 2×423275697550442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63124882 + ... + 63791894.

It is an arithmetic number, because the mean of its divisors is an integer number (852608422120).

Almost surely, 242327569755044 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 42327569755044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61387806392640).

42327569755044 is an abundant number, since it is smaller than the sum of its proper divisors (80448043030236).

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

42327569755044 is a wasteful number, since it uses less digits than its factorization.

42327569755044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668050 (or 668045 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 42327569755044 in words is "forty-two trillion, three hundred twenty-seven billion, five hundred sixty-nine million, seven hundred fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 419 601 838 1202 1257 1676 1803 2404 2514 2933 3606 3771 4207 5028 5409 5866 7212 7542 8414 8799 10818 11732 12621 15084 16828 17598 21636 25242 26397 35196 37863 50484 52794 75726 105588 151452 251819 503638 667013 755457 1007276 1334026 1510914 1762733 2001039 2266371 2668052 3021828 3525466 4002078 4532742 4669091 5288199 6003117 7050932 8004156 9065484 9338182 10576398 12006234 14007273 15864597 18676364 21152796 24012468 28014546 31729194 42021819 56029092 63458388 84043638 168087276 279478447 400874813 558956894 801749626 838435341 1117913788 1202624439 1603499252 1676870682 1956349129 2405248878 2515306023 2806123691 3353741364 3607873317 3912698258 4810497756 5030612046 5612247382 5869047387 7215746634 7825396516 8418371073 10061224092 11224494764 11738094774 14431493268 16836742146 17607142161 23476189548 25255113219 33673484292 35214284322 50510226438 70428568644 101020452876 167966546647 335933093294 503899639941 671866186588 1007799279882 1175765826529 1511698919823 2015598559764 2351531653058 3023397839646 3527297479587 4703063306116 6046795679292 7054594959174 10581892438761 14109189918348 21163784877522 42327569755044