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5654940384 = 253178938933
BaseRepresentation
bin1010100010000111…
…11000101011100000
3112121002202201212110
411101003320223200
543040131043014
62333044555320
7260064125442
oct52103705340
915532681773
105654940384
112442080455
1211199b2b40
136c1752492
143b906a492
152316c7d59
hex1510f8ae0

5654940384 has 96 divisors (see below), whose sum is σ = 15894416160. Its totient is φ = 1754120192.

The previous prime is 5654940353. The next prime is 5654940391. The reversal of 5654940384 is 4830494565.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 125782 + ... + 164714.

It is an arithmetic number, because the mean of its divisors is an integer number (165566835).

Almost surely, 25654940384 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 5654940384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947208080).

5654940384 is an abundant number, since it is smaller than the sum of its proper divisors (10239475776).

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

5654940384 is a wasteful number, since it uses less digits than its factorization.

5654940384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39052 (or 39044 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 5654940384 is about 75199.3376566576. The cubic root of 5654940384 is about 1781.5964703299.

The spelling of 5654940384 in words is "five billion, six hundred fifty-four million, nine hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 89 96 102 136 178 204 267 272 356 408 534 544 712 816 1068 1424 1513 1632 2136 2848 3026 4272 4539 6052 8544 9078 12104 18156 24208 36312 38933 48416 72624 77866 116799 145248 155732 233598 311464 467196 622928 661861 934392 1245856 1323722 1868784 1985583 2647444 3465037 3737568 3971166 5294888 6930074 7942332 10395111 10589776 13860148 15884664 20790222 21179552 27720296 31769328 41580444 55440592 58905629 63538656 83160888 110881184 117811258 166321776 176716887 235622516 332643552 353433774 471245032 706867548 942490064 1413735096 1884980128 2827470192 5654940384