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20232231964816 = 24174712291287731
BaseRepresentation
bin1001001100110101011101…
…11111111101000010010000
32122122011221000212122122211
410212122232333331002100
510122441102340333231
6111010320431041504
74155505366114534
oct446325677750220
978564830778584
1020232231964816
1164a0494544493
122329185670294
13b39b7820ba31
144dd360d85bc4
15251447d66eb1
hex1266aeffd090

20232231964816 has 80 divisors (see below), whose sum is σ = 42423455082240. Its totient is φ = 9310885406720.

The previous prime is 20232231964739. The next prime is 20232231964871. The reversal of 20232231964816 is 61846913223202.

It is a self number, because there is not a number n which added to its sum of digits gives 20232231964816.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15067671 + ... + 16355401.

It is an arithmetic number, because the mean of its divisors is an integer number (530293188528).

Almost surely, 220232231964816 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 20232231964816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21211727541120).

20232231964816 is an abundant number, since it is smaller than the sum of its proper divisors (22191223117424).

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

20232231964816 is a wasteful number, since it uses less digits than its factorization.

20232231964816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289032 (or 1289026 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 20232231964816 in words is "twenty trillion, two hundred thirty-two billion, two hundred thirty-one million, nine hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 752 799 1229 1598 2458 3196 4916 6392 9832 12784 19664 20893 41786 57763 83572 115526 167144 231052 334288 462104 924208 981971 1287731 1963942 2575462 3927884 5150924 7855768 10301848 15711536 20603696 21891427 43782854 60523357 87565708 121046714 175131416 242093428 350262832 484186856 968373712 1028897069 1582621399 2057794138 3165242798 4115588276 6330485596 8231176552 12660971192 16462353104 25321942384 26904563783 53809127566 74383205753 107618255132 148766411506 215236510264 297532823012 430473020528 595065646024 1190131292048 1264514497801 2529028995602 5058057991204 10116115982408 20232231964816