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5625965340 = 22325613071669
BaseRepresentation
bin1010011110101010…
…10110101100011100
3112112002020122120200
411033111112230130
543010221342330
62330131543500
7256262626212
oct51725265434
915462218520
105625965340
112427790036
12111015ab90
136b8748b98
143b5286cb2
1522dda2a60
hex14f556b1c

5625965340 has 144 divisors (see below), whose sum is σ = 17412114720. Its totient is φ = 1469975040.

The previous prime is 5625965321. The next prime is 5625965357. The reversal of 5625965340 is 435695265.

5625965340 is a `hidden beast` number, since 5 + 6 + 2 + 596 + 53 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3370026 + ... + 3371694.

Almost surely, 25625965340 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 5625965340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706057360).

5625965340 is an abundant number, since it is smaller than the sum of its proper divisors (11786149380).

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

5625965340 is a wasteful number, since it uses less digits than its factorization.

5625965340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5625965340 is about 75006.4353239107. The cubic root of 5625965340 is about 1778.5483830593.

The spelling of 5625965340 in words is "five billion, six hundred twenty-five million, nine hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 307 366 549 610 614 732 915 921 1098 1220 1228 1535 1669 1830 1842 2196 2745 2763 3070 3338 3660 3684 4605 5007 5490 5526 6140 6676 8345 9210 10014 10980 11052 13815 15021 16690 18420 18727 20028 25035 27630 30042 33380 37454 50070 55260 56181 60084 74908 75105 93635 100140 101809 112362 150210 168543 187270 203618 224724 280905 300420 305427 337086 374540 407236 509045 512383 561810 610854 674172 842715 916281 1018090 1024766 1123620 1221708 1527135 1537149 1685430 1832562 2036180 2049532 2561915 3054270 3074298 3370860 3665124 4581405 4611447 5123830 6108540 6148596 7685745 9162810 9222894 10247660 15371490 18325620 18445788 23057235 30742980 31255363 46114470 62510726 92228940 93766089 125021452 156276815 187532178 281298267 312553630 375064356 468830445 562596534 625107260 937660890 1125193068 1406491335 1875321780 2812982670 5625965340