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42604234416 = 2433823119831
BaseRepresentation
bin100111101011011010…
…010000011010110000
311001222011101100112000
4213223122100122300
51144223141000131
631323324334000
73035526005652
oct475332203260
9131864340460
1042604234416
1117082a85997
1283100a4300
13402c778983
1420c23d26d2
151195451ce6
hex9eb6906b0

42604234416 has 80 divisors (see below), whose sum is σ = 122439544320. Its totient is φ = 14184037440.

The previous prime is 42604234411. The next prime is 42604234427. The reversal of 42604234416 is 61443240624.

42604234416 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 4 + 234 + 416 = 666.

It is a super-2 number, since 2×426042344162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42604234411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 295621 + ... + 415451.

It is an arithmetic number, because the mean of its divisors is an integer number (1530494304).

Almost surely, 242604234416 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 42604234416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61219772160).

42604234416 is an abundant number, since it is smaller than the sum of its proper divisors (79835309904).

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

42604234416 is a wasteful number, since it uses less digits than its factorization.

42604234416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120671 (or 120659 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42604234416 in words is "forty-two billion, six hundred four million, two hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 823 1646 2469 3292 4938 6584 7407 9876 13168 14814 19752 22221 29628 39504 44442 59256 88884 118512 119831 177768 239662 355536 359493 479324 718986 958648 1078479 1437972 1917296 2156958 2875944 3235437 4313916 5751888 6470874 8627832 12941748 17255664 25883496 51766992 98620913 197241826 295862739 394483652 591725478 788967304 887588217 1183450956 1577934608 1775176434 2366901912 2662764651 3550352868 4733803824 5325529302 7100705736 10651058604 14201411472 21302117208 42604234416