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10033068412059 = 37111713174326249
BaseRepresentation
bin1001001000000000000101…
…1110101000110010011011
31022112011002210021122020120
42102000001132220302123
52303340211003141214
633201043351524323
72053602534250020
oct222000136506233
938464083248216
1010033068412059
113219000614490
1211605863896a3
1357a164138954
14269862cab547
15125eb3125ea9
hex920017a8c9b

10033068412059 has 128 divisors (see below), whose sum is σ = 17818859520000. Its totient is φ = 4861213593600.

The previous prime is 10033068412057. The next prime is 10033068412121. The reversal of 10033068412059 is 95021486033001.

It is not a de Polignac number, because 10033068412059 - 21 = 10033068412057 is a prime.

It is a super-2 number, since 2×100330684120592 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10033068412059.

It is not an unprimeable number, because it can be changed into a prime (10033068412057) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 382213567 + ... + 382239815.

It is an arithmetic number, because the mean of its divisors is an integer number (139209840000).

Almost surely, 210033068412059 is an apocalyptic number.

10033068412059 is a deficient number, since it is larger than the sum of its proper divisors (7785791107941).

10033068412059 is a wasteful number, since it uses less digits than its factorization.

10033068412059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27161.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 10033068412059 in words is "ten trillion, thirty-three billion, sixty-eight million, four hundred twelve thousand, fifty-nine".

Divisors: 1 3 7 11 17 21 33 51 77 119 131 187 231 357 393 561 743 917 1309 1441 2227 2229 2751 3927 4323 5201 6681 8173 10087 12631 15589 15603 24497 24519 26249 30261 37893 46767 57211 73491 78747 88417 97333 138941 171479 171633 183743 265251 288739 291999 416823 446233 514437 551229 681331 866217 972587 1070663 1338699 1654661 2021173 2043993 2917761 3123631 3211989 3438619 4908563 4963983 6063519 7494641 9370893 10315857 11582627 14725689 18201271 19503007 22483923 24070333 34359941 34747881 37824809 54603813 58456523 58509021 72210999 103079823 113474427 127408897 136521049 175369569 214533077 264773663 331551119 382226691 409195661 409563147 643021753 643599231 794320989 994653357 1227586983 1501731539 1929065259 2320857833 2554893917 3647062309 4501152271 4505194617 6962573499 7664681751 10941186927 13503456813 17884257419 25529436163 28103833087 43433196589 53652772257 76588308489 84311499261 130299589767 196726831609 304032376123 477765162479 590180494827 912097128369 1433295487437 3344356137353 10033068412059