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57707342271456 = 25310729319173811
BaseRepresentation
bin11010001111100000010011…
…01000110001001111100000
321120022202201220101200012220
431013300021220301033200
530030434114110141311
6322422215334351040
715104134510662153
oct1507601150611740
9246282656350186
1057707342271456
1117429601315269
1265800a01bb480
132627a1869c957
14103709bd19c9a
156a1178cde206
hex347c09a313e0

57707342271456 has 96 divisors (see below), whose sum is σ = 153419333413248. Its totient is φ = 18990968547840.

The previous prime is 57707342271427. The next prime is 57707342271463. The reversal of 57707342271456 is 65417224370775.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57707342271456.

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, 6577210 + ... + 12596601.

It is an arithmetic number, because the mean of its divisors is an integer number (1598118056388).

Almost surely, 257707342271456 is an apocalyptic number.

It is an amenable number.

57707342271456 is an abundant number, since it is smaller than the sum of its proper divisors (95711991141792).

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

57707342271456 is a wasteful number, since it uses less digits than its factorization.

57707342271456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19174224 (or 19174216 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 60.

The spelling of 57707342271456 in words is "fifty-seven trillion, seven hundred seven billion, three hundred forty-two million, two hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 293 321 428 586 642 856 879 1172 1284 1712 1758 2344 2568 3424 3516 4688 5136 7032 9376 10272 14064 28128 31351 62702 94053 125404 188106 250808 376212 501616 752424 1003232 1504848 3009696 19173811 38347622 57521433 76695244 115042866 153390488 230085732 306780976 460171464 613561952 920342928 1840685856 2051597777 4103195554 5617926623 6154793331 8206391108 11235853246 12309586662 16412782216 16853779869 22471706492 24619173324 32825564432 33707559738 44943412984 49238346648 65651128864 67415119476 89886825968 98476693296 134830238952 179773651936 196953386592 269660477904 539320955808 601118148661 1202236297322 1803354445983 2404472594644 3606708891966 4808945189288 7213417783932 9617890378576 14426835567864 19235780757152 28853671135728 57707342271456