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42015644632 = 231310711333413
BaseRepresentation
bin100111001000010100…
…111101101111011000
311000110010211220010101
4213020110331233120
51142022001112012
631145101025144
73015121041523
oct471024755730
9130403756111
1042015644632
1116900810755
128186b551b4
133c678467b0
142068179bba
15115d939d57
hex9c853dbd8

42015644632 has 64 divisors (see below), whose sum is σ = 86392565280. Its totient is φ = 19040028672.

The previous prime is 42015644603. The next prime is 42015644641. The reversal of 42015644632 is 23644651024.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42015644591 and 42015644600.

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, 1240758 + ... + 1274170.

Almost surely, 242015644632 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 42015644632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43196282640).

42015644632 is an abundant number, since it is smaller than the sum of its proper divisors (44376920648).

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

42015644632 is a wasteful number, since it uses less digits than its factorization.

42015644632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33652 (or 33648 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 42015644632 in words is "forty-two billion, fifteen million, six hundred forty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 107 113 214 226 428 452 856 904 1391 1469 2782 2938 5564 5876 11128 11752 12091 24182 33413 48364 66826 96728 133652 157183 267304 314366 434369 628732 868738 1257464 1737476 3474952 3575191 3775669 7150382 7551338 14300764 15102676 28601528 30205352 46477483 49083697 92954966 98167394 185909932 196334788 371819864 392669576 403996583 807993166 1615986332 3231972664 5251955579 10503911158 21007822316 42015644632