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13455339960 = 2335295776701
BaseRepresentation
bin11001000100000000…
…00011000110111000
31021201201121002110110
430202000003012320
5210024031334320
610103054344320
7654302334246
oct144200030670
937651532413
1013455339960
115785209077
1227361bb0a0
13136581b12a
14919017796
1553b3e75e0
hex3220031b8

13455339960 has 128 divisors (see below), whose sum is σ = 41836564800. Its totient is φ = 3457843200.

The previous prime is 13455339959. The next prime is 13455340033. The reversal of 13455339960 is 6993355431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004610 + ... + 2011310.

Almost surely, 213455339960 is an apocalyptic number.

13455339960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13455339960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918282400).

13455339960 is an abundant number, since it is smaller than the sum of its proper divisors (28381224840).

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

13455339960 is a wasteful number, since it uses less digits than its factorization.

13455339960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 48.

The spelling of 13455339960 in words is "thirteen billion, four hundred fifty-five million, three hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 577 580 696 870 1154 1160 1731 1740 2308 2885 3462 3480 4616 5770 6701 6924 8655 11540 13402 13848 16733 17310 20103 23080 26804 33466 33505 34620 40206 50199 53608 66932 67010 69240 80412 83665 100398 100515 133864 134020 160824 167330 194329 200796 201030 250995 268040 334660 388658 401592 402060 501990 582987 669320 777316 804120 971645 1003980 1165974 1554632 1943290 2007960 2331948 2914935 3866477 3886580 4663896 5829870 7732954 7773160 11599431 11659740 15465908 19332385 23198862 23319480 30931816 38664770 46397724 57997155 77329540 92795448 112127833 115994310 154659080 224255666 231988620 336383499 448511332 463977240 560639165 672766998 897022664 1121278330 1345533996 1681917495 2242556660 2691067992 3363834990 4485113320 6727669980 13455339960