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4973128992 = 25321312710459
BaseRepresentation
bin1001010000110101…
…11110110100100000
3110211120211010110200
410220122332310200
540141110111432
62141251225200
7234144620226
oct45032766440
913746733420
104973128992
112122224467
12b695a8200
13613410ba0
143526a8b16
151e18e9a7c
hex1286bed20

4973128992 has 144 divisors (see below), whose sum is σ = 15351598080. Its totient is φ = 1517999616.

The previous prime is 4973128991. The next prime is 4973128999. The reversal of 4973128992 is 2998213794.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4973128991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470259 + ... + 480717.

It is an arithmetic number, because the mean of its divisors is an integer number (106608320).

Almost surely, 24973128992 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 4973128992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675799040).

4973128992 is an abundant number, since it is smaller than the sum of its proper divisors (10378469088).

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

4973128992 is a wasteful number, since it uses less digits than its factorization.

4973128992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10604 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 4973128992 is about 70520.4154270237. The cubic root of 4973128992 is about 1706.9071909001.

The spelling of 4973128992 in words is "four billion, nine hundred seventy-three million, one hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 127 144 156 208 234 254 288 312 381 416 468 508 624 762 936 1016 1143 1248 1524 1651 1872 2032 2286 3048 3302 3744 4064 4572 4953 6096 6604 9144 9906 10459 12192 13208 14859 18288 19812 20918 26416 29718 31377 36576 39624 41836 52832 59436 62754 79248 83672 94131 118872 125508 135967 158496 167344 188262 237744 251016 271934 334688 376524 407901 475488 502032 543868 753048 815802 1004064 1087736 1223703 1328293 1506096 1631604 2175472 2447406 2656586 3012192 3263208 3984879 4350944 4894812 5313172 6526416 7969758 9789624 10626344 11954637 13052832 15939516 17267809 19579248 21252688 23909274 31879032 34535618 39158496 42505376 47818548 51803427 63758064 69071236 95637096 103606854 127516128 138142472 155410281 191274192 207213708 276284944 310820562 382548384 414427416 552569888 621641124 828854832 1243282248 1657709664 2486564496 4973128992