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57249445322240 = 295178315849089
BaseRepresentation
bin11010000010001011011001…
…10110100001111000000000
321111200222211021111112210122
431001011230312201320000
530000433331000302430
6321432010533515412
715026064424064633
oct1501055466417000
9244628737445718
1057249445322240
1117272398438006
1265073ab4a2b68
1325c37a421caa2
14101cc60705c1a
156942c960dee5
hex34116cda1e00

57249445322240 has 160 divisors (see below), whose sum is σ = 147089952203040. Its totient is φ = 21293059538944.

The previous prime is 57249445322219. The next prime is 57249445322269. The reversal of 57249445322240 is 4222354494275.

It is a tau number, because it is divible by the number of its divisors (160).

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, 4312385 + ... + 11536704.

It is an arithmetic number, because the mean of its divisors is an integer number (919312201269).

Almost surely, 257249445322240 is an apocalyptic number.

It is an amenable number.

57249445322240 is an abundant number, since it is smaller than the sum of its proper divisors (89840506880800).

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

57249445322240 is a wasteful number, since it uses less digits than its factorization.

57249445322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15849212 (or 15849196 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 53.

The spelling of 57249445322240 in words is "fifty-seven trillion, two hundred forty-nine billion, four hundred forty-five million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 83 85 128 136 160 166 170 256 272 320 332 340 415 512 544 640 664 680 830 1088 1280 1328 1360 1411 1660 2176 2560 2656 2720 2822 3320 4352 5312 5440 5644 6640 7055 8704 10624 10880 11288 13280 14110 21248 21760 22576 26560 28220 42496 43520 45152 53120 56440 90304 106240 112880 180608 212480 225760 361216 451520 722432 903040 1806080 3612160 15849089 31698178 63396356 79245445 126792712 158490890 253585424 269434513 316981780 507170848 538869026 633963560 1014341696 1077738052 1267927120 1315474387 1347172565 2028683392 2155476104 2535854240 2630948774 2694345130 4057366784 4310952208 5071708480 5261897548 5388690260 6577371935 8114733568 8621904416 10143416960 10523795096 10777380520 13154743870 17243808832 20286833920 21047590192 21554761040 22363064579 26309487740 34487617664 40573667840 42095180384 43109522080 44726129158 52618975480 68975235328 84190360768 86219044160 89452258316 105237950960 111815322895 137950470656 168380721536 172438088320 178904516632 210475901920 223630645790 336761443072 344876176640 357809033264 420951803840 447261291580 673522886144 689752353280 715618066528 841903607680 894522583160 1431236133056 1683807215360 1789045166320 2862472266112 3367614430720 3578090332640 5724944532224 7156180665280 11449889064448 14312361330560 28624722661120 57249445322240