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3690030064032 = 2532133131793063
BaseRepresentation
bin110101101100100110111…
…011100110000110100000
3111001202121112120110011100
4311230212323212012200
5440424140144022112
611503102034314400
7530411246011644
oct65544673460640
914052545513140
103690030064032
1111a2a29854974
124b719b728a00
13209c785a7840
14ca854062c24
1565ebd3cb2dc
hex35b26ee61a0

3690030064032 has 144 divisors (see below), whose sum is σ = 11665256698368. Its totient is φ = 1098768222720.

The previous prime is 3690030064031. The next prime is 3690030064081. The reversal of 3690030064032 is 2304600300963.

3690030064032 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 0 + 3 + 0 + 0 + 640 + 3 + 2 = 666.

3690030064032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3690030064031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15780468 + ... + 16012595.

It is an arithmetic number, because the mean of its divisors is an integer number (81008727072).

Almost surely, 23690030064032 is an apocalyptic number.

3690030064032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3690030064032 is an abundant number, since it is smaller than the sum of its proper divisors (7975226634336).

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

3690030064032 is a wasteful number, since it uses less digits than its factorization.

3690030064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31793123 (or 31793112 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 3690030064032 its reverse (2304600300963), we get a palindrome (5994630364995).

The spelling of 3690030064032 in words is "three trillion, six hundred ninety billion, thirty million, sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 19344 29016 38688 58032 116064 31793063 63586126 95379189 127172252 190758378 254344504 286137567 381516756 413309819 508689008 572275134 763033512 826619638 985584953 1017378016 1144550268 1239929457 1526067024 1653239276 1971169906 2289100536 2479858914 2956754859 3052134048 3306478552 3719788371 3942339812 4578201072 4959717828 5913509718 6612957104 7439576742 7884679624 8870264577 9156402144 9919435656 11827019436 12812604389 13225914208 14879153484 15769359248 17740529154 19838871312 23654038872 25625208778 29758306968 31538718496 35481058308 38437813167 39677742624 47308077744 51250417556 59516613936 70962116616 76875626334 94616155488 102500835112 115313439501 119033227872 141924233232 153751252668 205001670224 230626879002 283848466464 307502505336 410003340448 461253758004 615005010672 922507516008 1230010021344 1845015032016 3690030064032