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30131660448 = 253431137379
BaseRepresentation
bin11100000011111111…
…001010011010100000
32212202221000221120000
4130003333022122200
5443202201113243
621501534020000
72114455613361
oct340377123240
985687027500
1030131660448
111186259a51a
125a0b047600
132ac27425a6
14165bb1bb68
15bb54845d3
hex703fca6a0

30131660448 has 120 divisors (see below), whose sum is σ = 88903694880. Its totient is φ = 10011323520.

The previous prime is 30131660407. The next prime is 30131660453. The reversal of 30131660448 is 84406613103.

It is a happy number.

30131660448 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 1 + 6 + 604 + 48 = 666.

It is a super-2 number, since 2×301316604482 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 787423 + ... + 824801.

It is an arithmetic number, because the mean of its divisors is an integer number (740864124).

Almost surely, 230131660448 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 30131660448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44451847440).

30131660448 is an abundant number, since it is smaller than the sum of its proper divisors (58772034432).

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

30131660448 is a wasteful number, since it uses less digits than its factorization.

30131660448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37712 (or 37695 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30131660448 in words is "thirty billion, one hundred thirty-one million, six hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 311 324 432 622 648 864 933 1244 1296 1866 2488 2592 2799 3732 4976 5598 7464 8397 9952 11196 14928 16794 22392 25191 29856 33588 37379 44784 50382 67176 74758 89568 100764 112137 134352 149516 201528 224274 268704 299032 336411 403056 448548 598064 672822 806112 897096 1009233 1196128 1345644 1794192 2018466 2691288 3027699 3588384 4036932 5382576 6055398 8073864 10765152 11624869 12110796 16147728 23249738 24221592 32295456 34874607 46499476 48443184 69749214 92998952 96886368 104623821 139498428 185997904 209247642 278996856 313871463 371995808 418495284 557993712 627742926 836990568 941614389 1115987424 1255485852 1673981136 1883228778 2510971704 3347962272 3766457556 5021943408 7532915112 10043886816 15065830224 30131660448