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42165554724 = 22342341138007
BaseRepresentation
bin100111010001010000…
…110100111000100100
311000211120221010010000
4213101100310320210
51142323340222344
631212014101300
73021621205266
oct472120647044
9130746833100
1042165554724
11169783a1397
1282091aa830
133c8c9137a7
14208003db36
15116bb9ca69
hex9d1434e24

42165554724 has 120 divisors (see below), whose sum is σ = 117827918208. Its totient is φ = 13116090240.

The previous prime is 42165554723. The next prime is 42165554759. The reversal of 42165554724 is 42745556124.

42165554724 is a `hidden beast` number, since 4 + 21 + 6 + 5 + 554 + 72 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42165554724.

It is not an unprimeable number, because it can be changed into a prime (42165554723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236529 + ... + 374535.

Almost surely, 242165554724 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 42165554724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58913959104).

42165554724 is an abundant number, since it is smaller than the sum of its proper divisors (75662363484).

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

42165554724 is a wasteful number, since it uses less digits than its factorization.

42165554724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138087 (or 138076 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The spelling of 42165554724 in words is "forty-two billion, one hundred sixty-five million, five hundred fifty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 41 46 54 69 81 82 92 108 123 138 162 164 207 246 276 324 369 414 492 621 738 828 943 1107 1242 1476 1863 1886 2214 2484 2829 3321 3726 3772 4428 5658 6642 7452 8487 11316 13284 16974 25461 33948 50922 76383 101844 138007 152766 276014 305532 414021 552028 828042 1242063 1656084 2484126 3174161 3726189 4968252 5658287 6348322 7452378 9522483 11178567 11316574 12696644 14904756 16974861 19044966 22357134 22633148 28567449 33949722 38089932 44714268 50924583 57134898 67899444 85702347 101849166 114269796 130140601 152773749 171404694 203698332 257107041 260281202 305547498 342809388 390421803 458321247 514214082 520562404 611094996 780843606 916642494 1028428164 1171265409 1561687212 1833284988 2342530818 3513796227 4685061636 7027592454 10541388681 14055184908 21082777362 42165554724