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542213355060 = 22325131012294209
BaseRepresentation
bin1111110001111100110…
…11110011011000110100
31220211112210002100002100
413320332123303120310
532340423104330220
61053031145542100
754113360321346
oct7707633633064
91824483070070
10542213355060
11199a513379a3
12891021a4930
133c190929690
141c359747296
15e186ac3d90
hex7e3e6f3634

542213355060 has 144 divisors (see below), whose sum is σ = 1788768006480. Its totient is φ = 132146380800.

The previous prime is 542213355049. The next prime is 542213355067. The reversal of 542213355060 is 60553312245.

542213355060 is a `hidden beast` number, since 5 + 42 + 2 + 1 + 3 + 3 + 550 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3425058576 + 538788296484 = 58524^2 + 734022^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542213355067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 910765 + ... + 1383444.

It is an arithmetic number, because the mean of its divisors is an integer number (12422000045).

Almost surely, 2542213355060 is an apocalyptic number.

It is an amenable number.

542213355060 is an abundant number, since it is smaller than the sum of its proper divisors (1246554651420).

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

542213355060 is a wasteful number, since it uses less digits than its factorization.

542213355060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294338 (or 2294333 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 542213355060 in words is "five hundred forty-two billion, two hundred thirteen million, three hundred fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 101 117 130 156 180 195 202 234 260 303 390 404 468 505 585 606 780 909 1010 1170 1212 1313 1515 1818 2020 2340 2626 3030 3636 3939 4545 5252 6060 6565 7878 9090 11817 13130 15756 18180 19695 23634 26260 39390 47268 59085 78780 118170 236340 2294209 4588418 6882627 9176836 11471045 13765254 20647881 22942090 27530508 29824717 34413135 41295762 45884180 59649434 68826270 82591524 89474151 103239405 119298868 137652540 149123585 178948302 206478810 231715109 268422453 298247170 357896604 412957620 447370755 463430218 536844906 596494340 695145327 894741510 926860436 1073689812 1158575545 1342112265 1390290654 1789483020 2085435981 2317151090 2684224530 2780581308 3012296417 3475726635 4170871962 4634302180 5368449060 6024592834 6951453270 8341743924 9036889251 10427179905 12049185668 13902906540 15061482085 18073778502 20854359810 27110667753 30122964170 36147557004 41708719620 45184446255 54221335506 60245928340 90368892510 108442671012 135553338765 180737785020 271106677530 542213355060