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51314542461364 = 227213119101169093
BaseRepresentation
bin10111010101011100110010…
…00100110100000110110100
320201200121210200201022001011
423222232121010310012310
523211214140332230424
6301045324140242004
713544232125114200
oct1352563104640664
9221617720638034
1051314542461364
11153944144a7796
125909128540304
132282c2c62a330
14c958cc315b00
155dec2061c694
hex2eab991341b4

51314542461364 has 72 divisors (see below), whose sum is σ = 112498876022568. Its totient is φ = 20299968057600.

The previous prime is 51314542461353. The next prime is 51314542461407. The reversal of 51314542461364 is 46316424541315.

It can be written as a sum of positive squares in 4 ways, for example, as 164268090000 + 51150274371364 = 405300^2 + 7151942^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303384802 + ... + 303553894.

Almost surely, 251314542461364 is an apocalyptic number.

It is an amenable number.

51314542461364 is an abundant number, since it is smaller than the sum of its proper divisors (61184333561204).

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

51314542461364 is a wasteful number, since it uses less digits than its factorization.

51314542461364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288225 (or 288216 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The spelling of 51314542461364 in words is "fifty-one trillion, three hundred fourteen billion, five hundred forty-two million, four hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 119101 169093 238202 338186 476404 676372 833707 1183651 1548313 1667414 2198209 2367302 3096626 3334828 4396418 4734604 5835949 6193252 8285557 8792836 10838191 11671898 15387463 16571114 21676382 23343796 30774926 33142228 43352764 61549852 75867337 107712241 151734674 215424482 303469348 430848964 20139145393 40278290786 80556581572 140974017751 261808890109 281948035502 523617780218 563896071004 986818124257 1047235560436 1832662230763 1973636248514 3665324461526 3947272497028 7330648923052 12828635615341 25657271230682 51314542461364