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13742900720 = 2452772812207
BaseRepresentation
bin11001100110010010…
…00000010111110000
31022110202200200122222
430303021000113300
5211121140310340
610151410020212
7664363504643
oct146311002760
938422620588
1013742900720
11591256679a
1227b6577668
1313b0282023
149452ada5a
1555679a8b5
hex3332405f0

13742900720 has 80 divisors (see below), whose sum is σ = 32196296448. Its totient is φ = 5455349760.

The previous prime is 13742900719. The next prime is 13742900723. The reversal of 13742900720 is 2700924731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742900723) 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, 6225857 + ... + 6228063.

Almost surely, 213742900720 is an apocalyptic number.

13742900720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13742900720 is an abundant number, since it is smaller than the sum of its proper divisors (18453395728).

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

13742900720 is a wasteful number, since it uses less digits than its factorization.

13742900720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 13742900720 in words is "thirteen billion, seven hundred forty-two million, nine hundred thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 281 554 562 1108 1124 1385 1405 2207 2216 2248 2770 2810 4414 4432 4496 5540 5620 8828 11035 11080 11240 17656 22070 22160 22480 35312 44140 77837 88280 155674 176560 311348 389185 611339 620167 622696 778370 1222678 1240334 1245392 1556740 2445356 2480668 3056695 3100835 3113480 4890712 4961336 6113390 6201670 6226960 9781424 9922672 12226780 12403340 24453560 24806680 48907120 49613360 171786259 343572518 687145036 858931295 1374290072 1717862590 2748580144 3435725180 6871450360 13742900720