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4006545681294 = 23213311828730203
BaseRepresentation
bin111010010011011000101…
…110110110101110001110
3112012000121001112202121200
4322103120232312232032
51011120401143300134
612304325350410330
7562314636245052
oct72233056665616
915160531482550
104006545681294
11130519164a932
125485b40609a6
13230a7ac52030
14dbcbc7d5c62
156e345981499
hex3a4d8bb6b8e

4006545681294 has 96 divisors (see below), whose sum is σ = 9651021778944. Its totient is φ = 1192911347520.

The previous prime is 4006545681287. The next prime is 4006545681329. The reversal of 4006545681294 is 4921865456004.

It is a happy number.

4006545681294 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 54 + 568 + 1 + 29 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4006545681294.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132638797 + ... + 132668999.

It is an arithmetic number, because the mean of its divisors is an integer number (100531476864).

Almost surely, 24006545681294 is an apocalyptic number.

4006545681294 is an abundant number, since it is smaller than the sum of its proper divisors (5644476097650).

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

4006545681294 is a wasteful number, since it uses less digits than its factorization.

4006545681294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48542 (or 48539 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4006545681294 in words is "four trillion, six billion, five hundred forty-five million, six hundred eighty-one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 18287 30203 36574 54861 60406 90609 109722 164583 181218 237731 271827 329166 392639 475462 543654 566897 713193 785278 936293 1133794 1177917 1426386 1700691 1872586 2139579 2355834 2808879 3401382 3533751 4279158 5102073 5617758 7067502 7369661 8426637 10204146 12171809 14739322 16853274 22108983 24343618 36515427 44217966 66326949 73030854 109546281 132653898 219092562 552322261 1104644522 1656966783 3313933566 4970900349 7180189393 9941800698 14360378786 17121990091 21540568179 34243980182 43081136358 51365970273 64621704537 102731940546 129243409074 154097910819 222585871183 308195821638 445171742366 667757613549 1335515227098 2003272840647 4006545681294