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42160398576 = 24316322923531
BaseRepresentation
bin100111010000111101…
…001010000011110000
311000211020020011012120
4213100331022003300
51142321030223301
631211311354240
73021526321632
oct472075120360
9130736204176
1042160398576
111697549a50a
128207522980
133c8b82990a
14207d49aa52
15116b4cee36
hex9d0f4a0f0

42160398576 has 80 divisors (see below), whose sum is σ = 110065752960. Its totient is φ = 13905665280.

The previous prime is 42160398571. The next prime is 42160398583. The reversal of 42160398576 is 67589306124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42160398571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779931 + ... + 1803461.

It is an arithmetic number, because the mean of its divisors is an integer number (1375821912).

It is a 1-persistent number, because it is pandigital, but 2⋅42160398576 = 84320797152 is not.

Almost surely, 242160398576 is an apocalyptic number.

It is an amenable number.

42160398576 is an abundant number, since it is smaller than the sum of its proper divisors (67905354384).

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

42160398576 is a wasteful number, since it uses less digits than its factorization.

42160398576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23934 (or 23928 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 42160398576 in words is "forty-two billion, one hundred sixty million, three hundred ninety-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 229 326 458 489 652 687 916 978 1304 1374 1832 1956 2608 2748 3664 3912 5496 7824 10992 23531 37327 47062 70593 74654 94124 111981 141186 149308 188248 223962 282372 298616 376496 447924 564744 597232 895848 1129488 1791696 3835553 5388599 7671106 10777198 11506659 15342212 16165797 21554396 23013318 30684424 32331594 43108792 46026636 61368848 64663188 86217584 92053272 129326376 184106544 258652752 878341637 1756683274 2635024911 3513366548 5270049822 7026733096 10540099644 14053466192 21080199288 42160398576