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34087415126704 = 2423414748068939
BaseRepresentation
bin1111100000000100110000…
…10001010001101010110000
311110200201120120100222222121
413300002120101101222300
513431442011233023304
6200255313050444024
710115506631616202
oct760023021215260
9143621516328877
1034087415126704
11a952434200195
1239a6452433614
131603577682214
1485bba81a2772
153e1a5a21c554
hex1f0098451ab0

34087415126704 has 80 divisors (see below), whose sum is σ = 72098795381760. Its totient is φ = 15566644881920.

The previous prime is 34087415126689. The next prime is 34087415126741. The reversal of 34087415126704 is 40762151478043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23325334 + ... + 24743605.

It is an arithmetic number, because the mean of its divisors is an integer number (901234942272).

Almost surely, 234087415126704 is an apocalyptic number.

It is an amenable number.

34087415126704 is an abundant number, since it is smaller than the sum of its proper divisors (38011380255056).

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

34087415126704 is a wasteful number, since it uses less digits than its factorization.

34087415126704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48069058 (or 48069052 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 34087415126704 in words is "thirty-four trillion, eighty-seven billion, four hundred fifteen million, one hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 41 46 47 82 92 94 164 184 188 328 368 376 656 752 943 1081 1886 1927 2162 3772 3854 4324 7544 7708 8648 15088 15416 17296 30832 44321 88642 177284 354568 709136 48068939 96137878 192275756 384551512 769103024 1105585597 1970826499 2211171194 2259240133 3941652998 4422342388 4518480266 7883305996 8844684776 9036960532 15766611992 17689369552 18073921064 31533223984 36147842128 45329009477 51962523059 90658018954 92628845453 103925046118 181316037908 185257690906 207850092236 362632075816 370515381812 415700184472 725264151632 741030763624 831400368944 1482061527248 2130463445419 4260926890838 8521853781676 17043707563352 34087415126704