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13810018816 = 291117971487
BaseRepresentation
bin11001101110010010…
…00010101000000000
31022122102222122101101
430313021002220000
5211240331100231
610202204344144
7666140136346
oct146711025000
938572878341
1013810018816
1159474395a0
122814b45054
1313c1151b89
14950181996
1555c607661
hex337242a00

13810018816 has 160 divisors (see below), whose sum is σ = 32222437632. Its totient is φ = 5843189760.

The previous prime is 13810018813. The next prime is 13810018819. The reversal of 13810018816 is 61881001831.

It is an interprime number because it is at equal distance from previous prime (13810018813) and next prime (13810018819).

It is not an unprimeable number, because it can be changed into a prime (13810018813) 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, 9286425 + ... + 9287911.

Almost surely, 213810018816 is an apocalyptic number.

13810018816 is a gapful number since it is divisible by the number (16) 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 13810018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111218816).

13810018816 is an abundant number, since it is smaller than the sum of its proper divisors (18412418816).

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

13810018816 is a wasteful number, since it uses less digits than its factorization.

13810018816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The spelling of 13810018816 in words is "thirteen billion, eight hundred ten million, eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 97 128 136 176 187 194 256 272 352 374 388 512 544 704 748 776 1067 1088 1408 1487 1496 1552 1649 2134 2176 2816 2974 2992 3104 3298 4268 4352 5632 5948 5984 6208 6596 8536 8704 11896 11968 12416 13192 16357 17072 18139 23792 23936 24832 25279 26384 32714 34144 36278 47584 47872 49664 50558 52768 65428 68288 72556 95168 95744 101116 105536 130856 136576 144239 145112 190336 202232 211072 261712 273152 278069 288478 290224 380672 404464 422144 523424 546304 556138 576956 580448 761344 808928 844288 1046848 1112276 1153912 1160896 1586629 1617856 2093696 2224552 2307824 2321792 2452063 3173258 3235712 4187392 4449104 4615648 4643584 4904126 6346516 6471424 8374784 8898208 9231296 9287168 9808252 12693032 12942848 17796416 18462592 19616504 25386064 26972693 35592832 36925184 39233008 50772128 53945386 71185664 73850368 78466016 101544256 107890772 142371328 156932032 203088512 215781544 313864064 406177024 431563088 627728128 812354048 863126176 1255456256 1726252352 3452504704 6905009408 13810018816