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42160208624 = 2417433799511
BaseRepresentation
bin100111010000111100…
…011011101011110000
311000211012212111122022
4213100330123223300
51142321003133444
631211303331012
73021524601062
oct472074335360
9130735774568
1042160208624
111697537a826
128207450a68
133c8b791311
14207d44b732
15116b4939ee
hex9d0f1baf0

42160208624 has 80 divisors (see below), whose sum is σ = 88744677120. Its totient is φ = 19325537280.

The previous prime is 42160208551. The next prime is 42160208639. The reversal of 42160208624 is 42680206124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4428029 + ... + 4437539.

It is an arithmetic number, because the mean of its divisors is an integer number (1109308464).

Almost surely, 242160208624 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 42160208624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44372338560).

42160208624 is an abundant number, since it is smaller than the sum of its proper divisors (46584468496).

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

42160208624 is a wasteful number, since it uses less digits than its factorization.

42160208624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 42160208624 in words is "forty-two billion, one hundred sixty million, two hundred eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 379 688 731 758 1462 1516 2924 3032 5848 6064 6443 9511 11696 12886 16297 19022 25772 32594 38044 51544 65188 76088 103088 130376 152176 161687 260752 277049 323374 408973 554098 646748 817946 1108196 1293496 1635892 2216392 2586992 3271784 3604669 4432784 6543568 6952541 7209338 13905082 14418676 27810164 28837352 55620328 57674704 61279373 111240656 122558746 155000767 245117492 310001534 490234984 620003068 980469968 1240006136 2480012272 2635013039 5270026078 10540052156 21080104312 42160208624