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3374785409728 = 2610113721118061
BaseRepresentation
bin110001000111000000111…
…000101011001011000000
3102221121220121010202010011
4301013000320223023000
5420243030031102403
611102204403314304
7465551220451105
oct61070070531300
912847817122104
103374785409728
111091269424217
1246608097b994
131b631933c735
14b94aa412aac
155cbbc6cca6d
hex311c0e2b2c0

3374785409728 has 112 divisors (see below), whose sum is σ = 6845176929888. Its totient is φ = 1650539520000.

The previous prime is 3374785409717. The next prime is 3374785409761. The reversal of 3374785409728 is 8279045874733.

It is a super-2 number, since 2×33747854097282 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186845818 + ... + 186863878.

Almost surely, 23374785409728 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 3374785409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422588464944).

3374785409728 is an abundant number, since it is smaller than the sum of its proper divisors (3470391520160).

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

3374785409728 is a wasteful number, since it uses less digits than its factorization.

3374785409728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18522 (or 18512 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 67.

The spelling of 3374785409728 in words is "three trillion, three hundred seventy-four billion, seven hundred eighty-five million, four hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 137 202 211 274 404 422 548 808 844 1096 1616 1688 2192 3232 3376 4384 6464 6752 8768 13504 13837 18061 21311 27674 28907 36122 42622 55348 57814 72244 85244 110696 115628 144488 170488 221392 231256 288976 340976 442784 462512 577952 681952 885568 925024 1155904 1363904 1824161 1850048 2474357 2919607 3648322 3810871 4948714 5839214 7296644 7621742 9897428 11678428 14593288 15243484 19794856 23356856 29186576 30486968 39589712 46713712 58373152 60973936 79179424 93427424 116746304 121947872 158358848 186854848 243895744 249910057 384897971 499820114 522089327 769795942 999640228 1044178654 1539591884 1999280456 2088357308 3079183768 3998560912 4176714616 6158367536 7997121824 8353429232 12316735072 15994243648 16706858464 24633470144 33413716928 52731022027 105462044054 210924088108 421848176216 843696352432 1687392704864 3374785409728