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3734681348720 = 245717392298461
BaseRepresentation
bin110110010110001100010…
…110101110101001110000
3111020000212100211201202002
4312112030112232221300
5442142111411124340
611535404450313132
7533551612453340
oct66261426565160
914200770751662
103734681348720
11120a962292a43
125039812887a8
1321124319245a
14cca8c27ad20
15672333d6715
hex3658c5aea70

3734681348720 has 80 divisors (see below), whose sum is σ = 10507322006208. Its totient is φ = 1205140869120.

The previous prime is 3734681348701. The next prime is 3734681348729. The reversal of 3734681348720 is 278431864373.

It is a happy number.

3734681348720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734681348729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196139711 + ... + 196158750.

Almost surely, 23734681348720 is an apocalyptic number.

It is an amenable number.

3734681348720 is an abundant number, since it is smaller than the sum of its proper divisors (6772640657488).

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

3734681348720 is a wasteful number, since it uses less digits than its factorization.

3734681348720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392298498 (or 392298492 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 3734681348720 in words is "three trillion, seven hundred thirty-four billion, six hundred eighty-one million, three hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 392298461 784596922 1569193844 1961492305 2746089227 3138387688 3922984610 5492178454 6276775376 6669073837 7845969220 10984356908 13338147674 13730446135 15691938440 21968713816 26676295348 27460892270 31383876880 33345369185 43937427632 46683516859 53352590696 54921784540 66690738370 93367033718 106705181392 109843569080 133381476740 186734067436 219687138160 233417584295 266762953480 373468134872 466835168590 533525906960 746936269744 933670337180 1867340674360 3734681348720