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10118646484324 = 227646372
BaseRepresentation
bin1001001100111110111001…
…0101000100110101100100
31022211022222212112010212121
42103033232111010311210
52311240441444444244
633304235250555324
72063022331000000
oct223175625046544
938738885463777
1010118646484324
113251326169844
12117508a298b44
13585251abb231
1426da607c3700
15128321186c84
hex933ee544d64

10118646484324 has 63 divisors (see below), whose sum is σ = 20663334339193. Its totient is φ = 4335627570288.

The previous prime is 10118646484291. The next prime is 10118646484351. The reversal of 10118646484324 is 42348464681101.

It is a happy number.

The square root of 10118646484324 is 3180982.

It is a perfect power (a square), and thus also a powerful number.

10118646484324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2543865502500 + 7574780981824 = 1594950^2 + 2752232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2182151334 + ... + 2182155970.

Almost surely, 210118646484324 is an apocalyptic number.

10118646484324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10118646484324 is the 3180982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10118646484324

10118646484324 is an abundant number, since it is smaller than the sum of its proper divisors (10544687854869).

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

10118646484324 is an frugal number, since it uses more digits than its factorization.

10118646484324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 10118646484324 in words is "ten trillion, one hundred eighteen billion, six hundred forty-six million, four hundred eighty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4637 4802 9274 9604 16807 18548 32459 33614 64918 67228 117649 129836 227213 235298 454426 470596 908852 1590491 3180982 6361964 11133437 21501769 22266874 43003538 44533748 77934059 86007076 150512383 155868118 301024766 311736236 545538413 602049532 1053586681 1091076826 2107173362 2182153652 4214346724 7375106767 14750213534 29500427068 51625747369 103251494738 206502989476 361380231583 722760463166 1445520926332 2529661621081 5059323242162 10118646484324