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4663069920 = 253253238243
BaseRepresentation
bin1000101011111000…
…01100110011100000
3110000222101111101100
410111330030303200
534022221214140
62050413434400
7223361304015
oct42574146340
913028344340
104663069920
111a831aa4a3
12aa179ba00
13594100692
1432343770c
151c45a0530
hex115f0cce0

4663069920 has 72 divisors (see below), whose sum is σ = 15912731016. Its totient is φ = 1243484928.

The previous prime is 4663069907. The next prime is 4663069921. The reversal of 4663069920 is 299603664.

4663069920 is a `hidden beast` number, since 4 + 6 + 630 + 6 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663069921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1617682 + ... + 1620561.

It is an arithmetic number, because the mean of its divisors is an integer number (221010153).

Almost surely, 24663069920 is an apocalyptic number.

4663069920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4663069920 is an abundant number, since it is smaller than the sum of its proper divisors (11249661096).

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

4663069920 is a wasteful number, since it uses less digits than its factorization.

4663069920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238264 (or 3238253 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 4663069920 is about 68286.6745419632. The cubic root of 4663069920 is about 1670.6698783901.

The spelling of 4663069920 in words is "four billion, six hundred sixty-three million, sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3238243 6476486 9714729 12952972 16191215 19429458 25905944 29144187 32382430 38858916 48573645 51811888 58288374 64764860 77717832 97147290 103623776 116576748 129529720 145720935 155435664 194294580 233153496 259059440 291441870 310871328 388589160 466306992 518118880 582883740 777178320 932613984 1165767480 1554356640 2331534960 4663069920