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4923747978304 = 2679235112
BaseRepresentation
bin100011110100110011000…
…1111111100110001000000
3122102201001110111002002111
41013221212033330301000
51121132313440301204
614245534423025104
71015505031162031
oct107514617746100
918381043432074
104923747978304
111629171410011
1267630929b194
132993cc5b11bc
1413044c6baa88
15881282e4d04
hex47a663fcc40

4923747978304 has 63 divisors (see below), whose sum is σ = 9898625261511. Its totient is φ = 2430018714240.

The previous prime is 4923747978269. The next prime is 4923747978307. The reversal of 4923747978304 is 4038797473294.

The square root of 4923747978304 is 2218952.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4923747978304.

It is not an unprimeable number, because it can be changed into a prime (4923747978307) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1402375909 + ... + 1402379419.

It is an arithmetic number, because the mean of its divisors is an integer number (157121035897).

Almost surely, 24923747978304 is an apocalyptic number.

4923747978304 is the 2218952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4923747978304

4923747978304 is an abundant number, since it is smaller than the sum of its proper divisors (4974877283207).

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

4923747978304 is an frugal number, since it uses more digits than its factorization.

4923747978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 67.

The spelling of 4923747978304 in words is "four trillion, nine hundred twenty-three billion, seven hundred forty-seven million, nine hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 2528 3511 5056 6241 7022 12482 14044 24964 28088 49928 56176 99856 112352 199712 224704 277369 399424 554738 1109476 2218952 4437904 8875808 12327121 17751616 21912151 24654242 43824302 49308484 87648604 98616968 175297208 197233936 350594416 394467872 701188832 788935744 973842559 1402377664 1947685118 3895370236 7790740472 15581480944 31162961888 62325923776 76933562161 153867124322 307734248644 615468497288 1230936994576 2461873989152 4923747978304