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542225012160 = 26351343447517
BaseRepresentation
bin1111110001111110010…
…00010001010111000000
31220211120121000120121210
413320333020101113000
532340434100342120
61053032243450120
754113561362146
oct7707710212700
91824517016553
10542225012160
11199a5797a067
1289106086940
133c19317b580
141c35b0dd596
15e187b27ce0
hex7e3f2115c0

542225012160 has 112 divisors (see below), whose sum is σ = 1853992488096. Its totient is φ = 133470769152.

The previous prime is 542225012149. The next prime is 542225012179. The reversal of 542225012160 is 61210522245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21711279 + ... + 21736238.

It is an arithmetic number, because the mean of its divisors is an integer number (16553504358).

Almost surely, 2542225012160 is an apocalyptic number.

It is an amenable number.

542225012160 is an abundant number, since it is smaller than the sum of its proper divisors (1311767475936).

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

542225012160 is a wasteful number, since it uses less digits than its factorization.

542225012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43447550 (or 43447540 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 542225012160 in words is "five hundred forty-two billion, two hundred twenty-five million, twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 43447517 86895034 130342551 173790068 217237585 260685102 347580136 434475170 521370204 564817721 651712755 695160272 868950340 1042740408 1129635442 1303425510 1390320544 1694453163 1737900680 2085480816 2259270884 2606851020 2780641088 2824088605 3388906326 3475801360 4170961632 4518541768 5213702040 5648177210 6777812652 6951602720 8341923264 8472265815 9037083536 10427404080 11296354420 13555625304 13903205440 16944531630 18074167072 20854808160 22592708840 27111250608 33889063260 36148334144 41709616320 45185417680 54222501216 67778126520 90370835360 108445002432 135556253040 180741670720 271112506080 542225012160