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42156620052 = 22323617135267
BaseRepresentation
bin100111010000101110…
…101111100100010100
311000210222010012001020
4213100232233210110
51142314043320202
631211054401140
73021452233551
oct472056574424
9130728105036
1042156620052
1116973349668
1282062001b0
133c8ab05ac1
14207cb95a28
15116aed55bc
hex9d0baf914

42156620052 has 96 divisors (see below), whose sum is σ = 105797228544. Its totient is φ = 13034313600.

The previous prime is 42156620047. The next prime is 42156620057. The reversal of 42156620052 is 25002665124.

42156620052 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 (42156620047) and next prime (42156620057).

It is a super-2 number, since 2×421566200522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42156619995 and 42156620022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42156620057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177723 + ... + 1212989.

It is an arithmetic number, because the mean of its divisors is an integer number (1102054464).

Almost surely, 242156620052 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 42156620052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52898614272).

42156620052 is an abundant number, since it is smaller than the sum of its proper divisors (63640608492).

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

42156620052 is a wasteful number, since it uses less digits than its factorization.

42156620052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35429 (or 35427 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 42156620052 in words is "forty-two billion, one hundred fifty-six million, six hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 46 61 69 71 92 122 138 142 183 213 244 276 284 366 426 732 852 1403 1633 2806 3266 4209 4331 4899 5612 6532 8418 8662 9798 12993 16836 17324 19596 25986 35267 51972 70534 99613 105801 141068 199226 211602 298839 398452 423204 597678 811141 1195356 1622282 2151287 2433423 2503957 3244564 4302574 4866846 5007914 6453861 7511871 8605148 9733692 10015828 12907722 15023742 25815444 30047484 49479601 57591011 98959202 115182022 148438803 152741377 172773033 197918404 230364044 296877606 305482754 345546066 458224131 593755212 610965508 691092132 916448262 1832896524 3513051671 7026103342 10539155013 14052206684 21078310026 42156620052