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5648933680 = 2451312374391
BaseRepresentation
bin1010100001011001…
…11110001100110000
3112120200110120012221
411100230332030300
543032111334210
62332312130424
7256662100255
oct52054761460
915520416187
105648933680
112439748535
121117996a14
136c042b410
143b834542c
15230ddd1da
hex150b3e330

5648933680 has 80 divisors (see below), whose sum is σ = 14158718784. Its totient is φ = 2083599360.

The previous prime is 5648933651. The next prime is 5648933683. The reversal of 5648933680 is 863398465.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (5648933683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284285 + ... + 1288675.

Almost surely, 25648933680 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 5648933680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079359392).

5648933680 is an abundant number, since it is smaller than the sum of its proper divisors (8509785104).

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

5648933680 is a wasteful number, since it uses less digits than its factorization.

5648933680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The square root of 5648933680 is about 75159.3885020361. The cubic root of 5648933680 is about 1780.9654401613.

The spelling of 5648933680 in words is "five billion, six hundred forty-eight million, nine hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1237 2474 4391 4948 6185 8782 9896 12370 16081 17564 19792 21955 24740 32162 35128 43910 49480 57083 64324 70256 80405 87820 98960 114166 128648 160810 175640 228332 257296 285415 321620 351280 456664 570830 643240 913328 1141660 1286480 2283320 4566640 5431667 10863334 21726668 27158335 43453336 54316670 70611671 86906672 108633340 141223342 217266680 282446684 353058355 434533360 564893368 706116710 1129786736 1412233420 2824466840 5648933680