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9915972048 = 243425313023
BaseRepresentation
bin10010011110000100…
…11011100111010000
3221121001122120110000
421033002123213100
5130301442101143
64315541410000
7500504241333
oct111702334720
927531576400
109915972048
114229342624
121b08a09900
13c204798a8
146a0d2c61a
153d0810bd3
hex24f09b9d0

9915972048 has 100 divisors (see below), whose sum is σ = 28720536768. Its totient is φ = 3302925120.

The previous prime is 9915972023. The next prime is 9915972107. The reversal of 9915972048 is 8402795199.

9915972048 is a `hidden beast` number, since 9 + 9 + 1 + 597 + 2 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9915971985 and 9915972003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3278665 + ... + 3281687.

Almost surely, 29915972048 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 9915972048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360268384).

9915972048 is an abundant number, since it is smaller than the sum of its proper divisors (18804564720).

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

9915972048 is a wasteful number, since it uses less digits than its factorization.

9915972048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 9915972048 is about 99578.9739252218. The cubic root of 9915972048 is about 2148.3832841831.

The spelling of 9915972048 in words is "nine billion, nine hundred fifteen million, nine hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2531 3023 5062 6046 7593 9069 10124 12092 15186 18138 20248 22779 24184 27207 30372 36276 40496 45558 48368 54414 60744 68337 72552 81621 91116 108828 121488 136674 145104 163242 182232 205011 217656 244863 273348 326484 364464 410022 435312 489726 546696 652968 820044 979452 1093392 1305936 1640088 1958904 3280176 3917808 7651213 15302426 22953639 30604852 45907278 61209704 68860917 91814556 122419408 137721834 183629112 206582751 275443668 367258224 413165502 550887336 619748253 826331004 1101774672 1239496506 1652662008 2478993012 3305324016 4957986024 9915972048