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4931060064 = 253773100519
BaseRepresentation
bin1001001011110101…
…00000000101100000
3110201122122210202020
410211322200011200
540044322410224
62133145421440
7233124214260
oct44572400540
913648583666
104931060064
112100500457
12b5749a880
136077a1728
1434ac777a0
151dcd89c79
hex125ea0160

4931060064 has 96 divisors (see below), whose sum is σ = 14995975680. Its totient is φ = 1389560832.

The previous prime is 4931060059. The next prime is 4931060081. The reversal of 4931060064 is 4600601394.

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, 1204 + ... + 99315.

It is an arithmetic number, because the mean of its divisors is an integer number (156208080).

Almost surely, 24931060064 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 4931060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497987840).

4931060064 is an abundant number, since it is smaller than the sum of its proper divisors (10064915616).

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

4931060064 is a wasteful number, since it uses less digits than its factorization.

4931060064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100612 (or 100604 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4931060064 is about 70221.5071327866. The cubic root of 4931060064 is about 1702.0805051483.

The spelling of 4931060064 in words is "four billion, nine hundred thirty-one million, sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4088 6132 7008 8176 12264 16352 24528 49056 100519 201038 301557 402076 603114 703633 804152 1206228 1407266 1608304 2110899 2412456 2814532 3216608 4221798 4824912 5629064 7337887 8443596 9649824 11258128 14675774 16887192 22013661 22516256 29351548 33774384 44027322 51365209 58703096 67548768 88054644 102730418 117406192 154095627 176109288 205460836 234812384 308191254 352218576 410921672 616382508 704437152 821843344 1232765016 1643686688 2465530032 4931060064