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51146625540 = 22351910324229
BaseRepresentation
bin101111101000100100…
…111001001000000100
311220000111101210011110
4233220210321020010
51314222014004130
635255121405020
73460314100233
oct575044711004
9156014353143
1051146625540
111a766a3386a
129ab4a99770
134a91496b8a
142692b28b1a
1514e538aab0
hexbe8939204

51146625540 has 144 divisors (see below), whose sum is σ = 152261726400. Its totient is φ = 12792777984.

The previous prime is 51146625487. The next prime is 51146625589. The reversal of 51146625540 is 4552664115.

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, 12092146 + ... + 12096374.

It is an arithmetic number, because the mean of its divisors is an integer number (1057373100).

Almost surely, 251146625540 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 51146625540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76130863200).

51146625540 is an abundant number, since it is smaller than the sum of its proper divisors (101115100860).

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

51146625540 is a wasteful number, since it uses less digits than its factorization.

51146625540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 51146625540 in words is "fifty-one billion, one hundred forty-six million, six hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 103 114 190 206 228 285 309 380 412 515 570 618 1030 1140 1236 1545 1957 2060 3090 3914 4229 5871 6180 7828 8458 9785 10609 11742 12687 16916 19570 21145 21218 23484 25374 29355 31827 39140 42290 42436 50748 53045 58710 63435 63654 80351 84580 106090 117420 126870 127308 159135 160702 201571 212180 241053 253740 318270 321404 401755 403142 435587 482106 604713 636540 803510 806284 871174 964212 1007855 1205265 1209426 1306761 1607020 1742348 2015710 2177935 2410530 2418852 2613522 3023565 4031420 4355870 4821060 5227044 6047130 6533805 8276153 8711740 12094260 13067610 16552306 24828459 26135220 33104612 41380765 44865461 49656918 82761530 89730922 99313836 124142295 134596383 165523060 179461844 224327305 248284590 269192766 448654610 496569180 538385532 672981915 852443759 897309220 1345963830 1704887518 2557331277 2691927660 3409775036 4262218795 5114662554 8524437590 10229325108 12786656385 17048875180 25573312770 51146625540