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13604332144 = 24131731791571
BaseRepresentation
bin11001010101110000…
…11010001001110000
31022010002221200022111
430222320122021300
5210330202112034
610125540015104
7661061625634
oct145270321160
938102850274
1013604332144
115851322107
122778091494
13138a6563a0
14930b1cdc4
15549528364
hex32ae1a270

13604332144 has 160 divisors (see below), whose sum is σ = 31437987840. Its totient is φ = 5642956800.

The previous prime is 13604332141. The next prime is 13604332201. The reversal of 13604332144 is 44123340631.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13604332141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8658879 + ... + 8660449.

It is an arithmetic number, because the mean of its divisors is an integer number (196487424).

Almost surely, 213604332144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13604332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718993920).

13604332144 is an abundant number, since it is smaller than the sum of its proper divisors (17833655696).

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

13604332144 is a wasteful number, since it uses less digits than its factorization.

13604332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13604332144 its reverse (44123340631), we get a palindrome (57727672775).

The spelling of 13604332144 in words is "thirteen billion, six hundred four million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 31 34 52 62 68 79 104 124 136 158 208 221 248 272 316 403 442 496 527 632 806 884 1027 1054 1264 1343 1571 1612 1768 2054 2108 2449 2686 3142 3224 3536 4108 4216 4898 5372 6284 6448 6851 8216 8432 9796 10744 12568 13702 16432 17459 19592 20423 21488 25136 26707 27404 31837 34918 39184 40846 41633 48701 53414 54808 63674 69836 81692 83266 97402 106828 109616 124109 127348 139672 163384 166532 194804 213656 248218 254696 279344 326768 333064 347191 389608 427312 496436 509392 541229 633113 666128 694382 779216 827917 992872 1082458 1266226 1388764 1613417 1655834 1985744 2109853 2164916 2532452 2777528 3226834 3311668 3847379 4219706 4329832 5064904 5555056 6453668 6623336 7694758 8439412 8659664 10129808 10762921 12907336 13246672 15389516 16878824 21525842 25814672 27428089 30779032 33757648 43051684 50015927 54856178 61558064 65405443 86103368 100031854 109712356 130810886 172206736 200063708 219424712 261621772 400127416 438849424 523243544 800254832 850270759 1046487088 1700541518 3401083036 6802166072 13604332144