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4068175058532 = 22331313032223761
BaseRepresentation
bin111011001100110010001…
…000010001011001100100
3112101220200010002111202000
4323030302020101121210
51013123110303333112
612352521022045300
7566626112305524
oct73146210213144
915356603074660
104068175058532
111329337844152
12558533719830
1323682012c660
14100c87829684
1570c512877dc
hex3b332211664

4068175058532 has 96 divisors (see below), whose sum is σ = 11367159740160. Its totient is φ = 1250784944640.

The previous prime is 4068175058527. The next prime is 4068175058551. The reversal of 4068175058532 is 2358505718604.

4068175058532 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 1 + 7 + 50 + 58 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717532 + ... + 2941292.

It is an arithmetic number, because the mean of its divisors is an integer number (118407913960).

Almost surely, 24068175058532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4068175058532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683579870080).

4068175058532 is an abundant number, since it is smaller than the sum of its proper divisors (7298984681628).

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

4068175058532 is a wasteful number, since it uses less digits than its factorization.

4068175058532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225090 (or 2225082 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 4068175058532 in words is "four trillion, sixty-eight billion, one hundred seventy-five million, fifty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1303 1404 2606 3909 5212 7818 11727 15636 16939 23454 33878 35181 46908 50817 67756 70362 101634 140724 152451 203268 304902 457353 609804 914706 1829412 2223761 4447522 6671283 8895044 13342566 20013849 26685132 28908893 40027698 57817786 60041547 80055396 86726679 115635572 120083094 173453358 240166188 260180037 346906716 520360074 780540111 1040720148 1561080222 2897560583 3122160444 5795121166 8692681749 11590242332 17385363498 26078045247 34770726996 37668287579 52156090494 75336575158 78234135741 104312180988 113004862737 150673150316 156468271482 226009725474 312936542964 339014588211 452019450948 678029176422 1017043764633 1356058352844 2034087529266 4068175058532