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70162417272 = 23317659260951
BaseRepresentation
bin100000101011000000…
…0011000011001111000
320201002201222002111010
41001112000120121320
52122143034323042
652122052033520
75032455464253
oct1012600303170
9221081862433
1070162417272
1127834945622
12117213028a0
136801ca344c
14357841409a
151c599e459c
hex1056018678

70162417272 has 64 divisors (see below), whose sum is σ = 186006585600. Its totient is φ = 21978252800.

The previous prime is 70162417261. The next prime is 70162417277. The reversal of 70162417272 is 27271426107.

It is a self number, because there is not a number n which added to its sum of digits gives 70162417272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70162417277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138397 + ... + 399347.

It is an arithmetic number, because the mean of its divisors is an integer number (2906352900).

Almost surely, 270162417272 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 70162417272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93003292800).

70162417272 is an abundant number, since it is smaller than the sum of its proper divisors (115844168328).

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

70162417272 is a wasteful number, since it uses less digits than its factorization.

70162417272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261636 (or 261632 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 70162417272 in words is "seventy billion, one hundred sixty-two million, four hundred seventeen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 659 1318 1977 2636 3954 5272 7908 11203 15816 22406 33609 44812 67218 89624 134436 260951 268872 521902 782853 1043804 1565706 2087608 3131412 4436167 6262824 8872334 13308501 17744668 26617002 35489336 53234004 106468008 171966709 343933418 515900127 687866836 1031800254 1375733672 2063600508 2923434053 4127201016 5846868106 8770302159 11693736212 17540604318 23387472424 35081208636 70162417272