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137304217920 = 2635314613717
BaseRepresentation
bin111111111011111111…
…0000001100101000000
3111010101222002221221110
41333313332001211000
54222144334433140
6143024321523320
712630345411222
oct1776776014500
9433358087843
10137304217920
1153259719171
122273aaa3540
13cc4222437c
1469075b6412
153889221380
hex1ff7f81940

137304217920 has 112 divisors (see below), whose sum is σ = 450003598848. Its totient is φ = 35433338880.

The previous prime is 137304217909. The next prime is 137304217943. The reversal of 137304217920 is 29712403731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277099 + ... + 2336618.

Almost surely, 2137304217920 is an apocalyptic number.

137304217920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137304217920 is an abundant number, since it is smaller than the sum of its proper divisors (312699380928).

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

137304217920 is a wasteful number, since it uses less digits than its factorization.

137304217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613768 (or 4613758 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 137304217920 in words is "one hundred thirty-seven billion, three hundred four million, two hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 4613717 9227434 13841151 18454868 23068585 27682302 36909736 46137170 55364604 69205755 73819472 92274340 110729208 138411510 143025227 147638944 184548680 221458416 276823020 286050454 295277888 369097360 429075681 442916832 553646040 572100908 715126135 738194720 858151362 885833664 1107292080 1144201816 1430252270 1476389440 1716302724 2145378405 2214584160 2288403632 2860504540 3432605448 4290756810 4429168320 4576807264 5721009080 6865210896 8581513620 9153614528 11442018160 13730421792 17163027240 22884036320 27460843584 34326054480 45768072640 68652108960 137304217920