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5764084992 = 283212719699
BaseRepresentation
bin1010101111001000…
…01111010100000000
3112212201010212010100
411113210033110000
543301101204432
62351544202400
7262560625341
oct52744172400
915781125110
105764084992
112498748406
12114a469400
1370b2483a3
143c975c0c8
1523b08707c
hex15790f500

5764084992 has 108 divisors (see below), whose sum is σ = 16750988800. Its totient is φ = 1906136064.

The previous prime is 5764084951. The next prime is 5764085011. The reversal of 5764084992 is 2994804675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282759 + ... + 302457.

Almost surely, 25764084992 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 5764084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375494400).

5764084992 is an abundant number, since it is smaller than the sum of its proper divisors (10986903808).

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

5764084992 is a wasteful number, since it uses less digits than its factorization.

5764084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19848 (or 19831 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5764084992 is about 75921.5713219899. The cubic root of 5764084992 is about 1792.9855601179.

The spelling of 5764084992 in words is "five billion, seven hundred sixty-four million, eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 576 762 768 1016 1143 1152 1524 2032 2286 2304 3048 4064 4572 6096 8128 9144 12192 16256 18288 19699 24384 32512 36576 39398 48768 59097 73152 78796 97536 118194 146304 157592 177291 236388 292608 315184 354582 472776 630368 709164 945552 1260736 1418328 1891104 2501773 2521472 2836656 3782208 5003546 5042944 5673312 7505319 7564416 10007092 11346624 15010638 15128832 20014184 22515957 22693248 30021276 40028368 45031914 45386496 60042552 80056736 90063828 120085104 160113472 180127656 240170208 320226944 360255312 480340416 640453888 720510624 960680832 1441021248 1921361664 2882042496 5764084992