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3354885565152 = 253117940214873
BaseRepresentation
bin110000110100011110110…
…000110010101011100000
3102212201112202001220021120
4300310132300302223200
5414431301201041102
611045114012452240
7464245122534402
oct60643660625340
912781482056246
103354885565152
111083887492480
1246224847a080
131b4497631284
14b853d55cb72
155c4056476bc
hex30d1ec32ae0

3354885565152 has 96 divisors (see below), whose sum is σ = 9728782318080. Its totient is φ = 1003763205120.

The previous prime is 3354885565103. The next prime is 3354885565169. The reversal of 3354885565152 is 2515655884533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33548855651522 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 20024013 + ... + 20190860.

It is an arithmetic number, because the mean of its divisors is an integer number (101341482480).

Almost surely, 23354885565152 is an apocalyptic number.

3354885565152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3354885565152 is an abundant number, since it is smaller than the sum of its proper divisors (6373896752928).

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

3354885565152 is a wasteful number, since it uses less digits than its factorization.

3354885565152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40214976 (or 40214968 counting only the distinct ones).

The product of its digits is 86400000, while the sum is 60.

The spelling of 3354885565152 in words is "three trillion, three hundred fifty-four billion, eight hundred eighty-five million, five hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 79 88 96 132 158 176 237 264 316 352 474 528 632 869 948 1056 1264 1738 1896 2528 2607 3476 3792 5214 6952 7584 10428 13904 20856 27808 41712 83424 40214873 80429746 120644619 160859492 241289238 321718984 442363603 482578476 643437968 884727206 965156952 1286875936 1327090809 1769454412 1930313904 2654181618 3176974967 3538908824 3860627808 5308363236 6353949934 7077817648 9530924901 10616726472 12707899868 14155635296 19061849802 21233452944 25415799736 34946724637 38123699604 42466905888 50831599472 69893449274 76247399208 101663198944 104840173911 139786898548 152494798416 209680347822 279573797096 304989596832 419360695644 559147594192 838721391288 1118295188384 1677442782576 3354885565152