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3354435425504 = 25176761912031
BaseRepresentation
bin110000110100000011111…
…011101001010011100000
3102212200101101001102202202
4300310003323221103200
5414424340432104004
611045001212432332
7464231015444042
oct60640373512340
912780341042682
103354435425504
111083676390939
124621417786a8
131b44252b5b57
14b84d9865a92
155c3cad7cb1e
hex30d03ee94e0

3354435425504 has 48 divisors (see below), whose sum is σ = 6993559875456. Its totient is φ = 1578322636800.

The previous prime is 3354435425437. The next prime is 3354435425519. The reversal of 3354435425504 is 4055245344533.

It is a super-2 number, since 2×33544354255042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3221969 + ... + 4133999.

It is an arithmetic number, because the mean of its divisors is an integer number (145699164072).

Almost surely, 23354435425504 is an apocalyptic number.

3354435425504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3354435425504 is an abundant number, since it is smaller than the sum of its proper divisors (3639124449952).

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

3354435425504 is a wasteful number, since it uses less digits than its factorization.

3354435425504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918819 (or 918811 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 47.

The spelling of 3354435425504 in words is "three trillion, three hundred fifty-four billion, four hundred thirty-five million, four hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 6761 13522 27044 54088 108176 114937 216352 229874 459748 912031 919496 1824062 1838992 3648124 3677984 7296248 14592496 15504527 29184992 31009054 62018108 124036216 248072432 496144864 6166241591 12332483182 24664966364 49329932728 98659865456 104826107047 197319730912 209652214094 419304428188 838608856376 1677217712752 3354435425504