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3149698346640 = 243356012426279
BaseRepresentation
bin101101110101011000101…
…001101010111010010000
3102011002220220010012201000
4231311120221222322100
5403101040234043030
610410541302342000
7443362314131346
oct55653051527220
912132826105630
103149698346640
11100486367122a
1242a52372a900
1319b027752b41
14ac6365a3996
1556de6ad9860
hex2dd58a6ae90

3149698346640 has 160 divisors (see below), whose sum is σ = 10867016966400. Its totient is φ = 838521676800.

The previous prime is 3149698346563. The next prime is 3149698346647. The reversal of 3149698346640 is 466438969413.

3149698346640 is a `hidden beast` number, since 3 + 1 + 4 + 96 + 9 + 83 + 466 + 4 + 0 = 666.

3149698346640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3149698346647) 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, 85021 + ... + 2511299.

It is an arithmetic number, because the mean of its divisors is an integer number (67918856040).

Almost surely, 23149698346640 is an apocalyptic number.

3149698346640 is a gapful number since it is divisible by the number (30) 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 3149698346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433508483200).

3149698346640 is an abundant number, since it is smaller than the sum of its proper divisors (7717318619760).

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

3149698346640 is a wasteful number, since it uses less digits than its factorization.

3149698346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426902 (or 2426890 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 3149698346640 in words is "three trillion, one hundred forty-nine billion, six hundred ninety-eight million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 601 720 1080 1202 1803 2160 2404 3005 3606 4808 5409 6010 7212 9015 9616 10818 12020 14424 16227 18030 21636 24040 27045 28848 32454 36060 43272 48080 54090 64908 72120 81135 86544 108180 129816 144240 162270 216360 259632 324540 432720 649080 1298160 2426279 4852558 7278837 9705116 12131395 14557674 19410232 21836511 24262790 29115348 36394185 38820464 43673022 48525580 58230696 65509533 72788370 87346044 97051160 109182555 116461392 131019066 145576740 174692088 194102320 218365110 262038132 291153480 327547665 349384176 436730220 524076264 582306960 655095330 873460440 1048152528 1310190660 1458193679 1746920880 2620381320 2916387358 4374581037 5240762640 5832774716 7290968395 8749162074 11665549432 13123743111 14581936790 17498324148 21872905185 23331098864 26247486222 29163873580 34996648296 39371229333 43745810370 52494972444 58327747160 65618715555 69993296592 78742458666 87491620740 104989944888 116655494320 131237431110 157484917332 174983241480 196856146665 209979889776 262474862220 314969834664 349966482960 393712293330 524949724440 629939669328 787424586660 1049899448880 1574849173320 3149698346640