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3480703085772 = 22321176111550137
BaseRepresentation
bin110010101001101010000…
…100100010110011001100
3110022202022011221011210200
4302221222010202303030
5424011434442221042
611223002442533500
7506321032032333
oct62515204426314
913282264834720
103480703085772
111122181171980
12482700507290
131c32c8b52b23
14c0677372d1a
156081b1dcc4c
hex32a6a122ccc

3480703085772 has 72 divisors (see below), whose sum is σ = 9610916030352. Its totient is φ = 1053372403200.

The previous prime is 3480703085737. The next prime is 3480703085777. The reversal of 3480703085772 is 2775803070843.

It is a happy number.

3480703085772 is a `hidden beast` number, since 34 + 8 + 0 + 7 + 0 + 30 + 8 + 577 + 2 = 666.

It is a super-3 number, since 3×34807030857723 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3480703085777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5473713 + ... + 6076424.

It is an arithmetic number, because the mean of its divisors is an integer number (133484944866).

Almost surely, 23480703085772 is an apocalyptic number.

It is an amenable number.

3480703085772 is an abundant number, since it is smaller than the sum of its proper divisors (6130212944580).

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

3480703085772 is a wasteful number, since it uses less digits than its factorization.

3480703085772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11550919 (or 11550914 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 3480703085772 in words is "three trillion, four hundred eighty billion, seven hundred three million, eighty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 761 1522 2283 3044 4566 6849 8371 9132 13698 16742 25113 27396 33484 50226 75339 100452 150678 301356 11550137 23100274 34650411 46200548 69300822 103951233 127051507 138601644 207902466 254103014 381154521 415804932 508206028 762309042 1143463563 1524618084 2286927126 4573854252 8789654257 17579308514 26368962771 35158617028 52737925542 79106888313 96686196827 105475851084 158213776626 193372393654 290058590481 316427553252 386744787308 580117180962 870175771443 1160234361924 1740351542886 3480703085772