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42176394792 = 2334722740961
BaseRepresentation
bin100111010001111010…
…001011011000101000
311000212100022211220000
4213101322023120220
51142334124113132
631213042303000
73022112304060
oct472172133050
9130770284800
1042176394792
1116983525724
128210957a60
133c91c3a82c
1420816623a0
15116cade87c
hex9d1e8b628

42176394792 has 160 divisors (see below), whose sum is σ = 135607158720. Its totient is φ = 11997020160.

The previous prime is 42176394773. The next prime is 42176394863. The reversal of 42176394792 is 29749367124.

42176394792 is a `hidden beast` number, since 421 + 7 + 63 + 94 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1009192 + ... + 1050152.

It is an arithmetic number, because the mean of its divisors is an integer number (847544742).

Almost surely, 242176394792 is an apocalyptic number.

42176394792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42176394792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67803579360).

42176394792 is an abundant number, since it is smaller than the sum of its proper divisors (93430763928).

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

42176394792 is a wasteful number, since it uses less digits than its factorization.

42176394792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41213 (or 41200 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 42176394792 in words is "forty-two billion, one hundred seventy-six million, three hundred ninety-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 227 252 324 378 454 504 567 648 681 756 908 1134 1362 1512 1589 1816 2043 2268 2724 3178 4086 4536 4767 5448 6129 6356 8172 9534 12258 12712 14301 16344 18387 19068 24516 28602 36774 38136 40961 42903 49032 57204 73548 81922 85806 114408 122883 128709 147096 163844 171612 245766 257418 286727 327688 343224 368649 491532 514836 573454 737298 860181 983064 1029672 1105947 1146908 1474596 1720362 2211894 2293816 2580543 2949192 3317841 3440724 4423788 5161086 6635682 6881448 7741629 8847576 9298147 10322172 13271364 15483258 18596294 20644344 23224887 26542728 27894441 30966516 37192588 46449774 55788882 61933032 65087029 74385176 83683323 92899548 111577764 130174058 167366646 185799096 195261087 223155528 251049969 260348116 334733292 390522174 502099938 520696232 585783261 669466584 753149907 781044348 1004199876 1171566522 1506299814 1562088696 1757349783 2008399752 2343133044 3012599628 3514699566 4686266088 5272049349 6025199256 7029399132 10544098698 14058798264 21088197396 42176394792