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4661725920 = 253531730637
BaseRepresentation
bin1000101011101110…
…00100101011100000
3110000212212012202120
410111313010223200
534021400212140
62050324544240
7223344005445
oct42567045340
913025765676
104661725920
111a82471755
12aa1252080
13593a4ca07
143231a79cc
151c43d71d0
hex115dc4ae0

4661725920 has 96 divisors (see below), whose sum is σ = 14731240608. Its totient is φ = 1239164928.

The previous prime is 4661725919. The next prime is 4661725961. The reversal of 4661725920 is 295271664.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 136842 + ... + 167478.

It is an arithmetic number, because the mean of its divisors is an integer number (153450423).

Almost surely, 24661725920 is an apocalyptic number.

4661725920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4661725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365620304).

4661725920 is an abundant number, since it is smaller than the sum of its proper divisors (10069514688).

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

4661725920 is a wasteful number, since it uses less digits than its factorization.

4661725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30972 (or 30964 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 4661725920 is about 68276.8329669735. The cubic root of 4661725920 is about 1670.5093549501.

The spelling of 4661725920 in words is "four billion, six hundred sixty-one million, seven hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 317 480 634 951 1268 1585 1902 2536 3170 3804 4755 5072 6340 7608 9510 10144 12680 15216 19020 25360 30432 30637 38040 50720 61274 76080 91911 122548 152160 153185 183822 245096 306370 367644 459555 490192 612740 735288 919110 980384 1225480 1470576 1838220 2450960 2941152 3676440 4901920 7352880 9711929 14705760 19423858 29135787 38847716 48559645 58271574 77695432 97119290 116543148 145678935 155390864 194238580 233086296 291357870 310781728 388477160 466172592 582715740 776954320 932345184 1165431480 1553908640 2330862960 4661725920