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3336670104064 = 29112101533257
BaseRepresentation
bin110000100011100001000…
…010010100101000000000
3102210222112021110121012121
4300203201002110220000
5414132000021312224
611032502312134024
7463031536632013
oct60434102245000
912728467417177
103336670104064
11107708a317a00
1245a804097314
131b285389222b
14b76d228737a
155bbdb3cdbe4
hex308e1094a00

3336670104064 has 120 divisors (see below), whose sum is σ = 7400564122644. Its totient is φ = 1501648896000.

The previous prime is 3336670104059. The next prime is 3336670104067. The reversal of 3336670104064 is 4604010766333.

It can be written as a sum of positive squares in 2 ways, for example, as 2881574150400 + 455095953664 = 1697520^2 + 674608^2 .

It is a super-2 number, since 2×33366701040642 (a number of 26 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 3336670104064.

It is not an unprimeable number, because it can be changed into a prime (3336670104067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5990524 + ... + 6523780.

Almost surely, 23336670104064 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 3336670104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700282061322).

3336670104064 is an abundant number, since it is smaller than the sum of its proper divisors (4063894018580).

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

3336670104064 is a wasteful number, since it uses less digits than its factorization.

3336670104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533398 (or 533371 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 43.

The spelling of 3336670104064 in words is "three trillion, three hundred thirty-six billion, six hundred seventy million, one hundred four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 121 128 176 202 242 256 352 404 484 512 704 808 968 1111 1408 1616 1936 2222 2816 3232 3872 4444 5632 6464 7744 8888 12221 12928 15488 17776 24442 25856 30976 35552 48884 51712 61952 71104 97768 142208 195536 284416 391072 533257 568832 782144 1066514 1564288 2133028 3128576 4266056 5865827 6257152 8532112 11731654 17064224 23463308 34128448 46926616 53858957 64524097 68256896 93853232 107717914 129048194 136513792 187706464 215435828 258096388 273027584 375412928 430871656 516192776 592448527 750825856 861743312 1032385552 1184897054 1501651712 1723486624 2064771104 2369794108 3003303424 3446973248 4129542208 4739588216 6516933797 6893946496 8259084416 9479176432 13033867594 13787892992 16518168832 18958352864 26067735188 27575785984 33036337664 37916705728 52135470376 75833411456 104270940752 151666822912 208541881504 303333645824 417083763008 834167526016 1668335052032 3336670104064