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30696468360 = 23353712235653
BaseRepresentation
bin11100100101101001…
…101110111110001000
32221020021211011100120
4130211221232332020
51000331243441420
622033551503240
72134454450565
oct344551567610
987207734316
1030696468360
11120223a1018
125b48227b20
132b82768b5c
1416b2b4386c
15be9d4ed40
hex725a6ef88

30696468360 has 128 divisors (see below), whose sum is σ = 94672385280. Its totient is φ = 7956569088.

The previous prime is 30696468349. The next prime is 30696468377. The reversal of 30696468360 is 6386469603.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5427294 + ... + 5432946.

It is an arithmetic number, because the mean of its divisors is an integer number (739628010).

Almost surely, 230696468360 is an apocalyptic number.

30696468360 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 30696468360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47336192640).

30696468360 is an abundant number, since it is smaller than the sum of its proper divisors (63975916920).

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

30696468360 is a wasteful number, since it uses less digits than its factorization.

30696468360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 30696468360 in words is "thirty billion, six hundred ninety-six million, four hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1223 1480 2220 2446 3669 4440 4892 5653 6115 7338 9784 11306 12230 14676 16959 18345 22612 24460 28265 29352 33918 36690 45224 45251 48920 56530 67836 73380 84795 90502 113060 135672 135753 146760 169590 181004 209161 226120 226255 271506 339180 362008 418322 452510 543012 627483 678360 678765 836644 905020 1045805 1086024 1254966 1357530 1673288 1810040 2091610 2509932 2715060 3137415 4183220 5019864 5430120 6274830 6913619 8366440 12549660 13827238 20740857 25099320 27654476 34568095 41481714 55308952 69136190 82963428 103704285 138272380 165926856 207408570 255803903 276544760 414817140 511607806 767411709 829634280 1023215612 1279019515 1534823418 2046431224 2558039030 3069646836 3837058545 5116078060 6139293672 7674117090 10232156120 15348234180 30696468360