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2023468992 = 26331961631
BaseRepresentation
bin111100010011011…
…1010111111000000
312020000111212122000
41320212322333000
513121002001432
6532441544000
7101100126336
oct17046727700
95200455560
102023468992
11949217226
124857a5000
132632a373c
14152a47b56
15bc99b57c
hex789bafc0

2023468992 has 112 divisors (see below), whose sum is σ = 6261811200. Its totient is φ = 638979840.

The previous prime is 2023468991. The next prime is 2023469053. The reversal of 2023468992 is 2998643202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023468991) 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, 2017 + ... + 63647.

Almost surely, 22023468992 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 2023468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130905600).

2023468992 is an abundant number, since it is smaller than the sum of its proper divisors (4238342208).

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

2023468992 is a wasteful number, since it uses less digits than its factorization.

2023468992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61671 (or 61655 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2023468992 is about 44982.9855834403. The cubic root of 2023468992 is about 1264.8300775265.

The spelling of 2023468992 in words is "two billion, twenty-three million, four hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 61631 123262 184893 246524 369786 493048 554679 739572 986096 1109358 1170989 1479144 1664037 1972192 2218716 2341978 2958288 3328074 3512967 3944384 4437432 4683956 5916576 6656148 7025934 8874864 9367912 10538901 11833152 13312296 14051868 17749728 18735824 21077802 26624592 28103736 31616703 35499456 37471648 42155604 53249184 56207472 63233406 74943296 84311208 106498368 112414944 126466812 168622416 224829888 252933624 337244832 505867248 674489664 1011734496 2023468992