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18120997248 = 273795631061
BaseRepresentation
bin10000111000000110…
…000111100110000000
31201202212212001001020
4100320012013212000
5244102433402443
612154043505440
71211024635524
oct207006074600
951685761036
1018120997248
117759915492
123618828280
13192a3163a3
14c3c925d84
15710d09583
hex438187980

18120997248 has 128 divisors (see below), whose sum is σ = 48875788800. Its totient is φ = 5947668480.

The previous prime is 18120997241. The next prime is 18120997283. The reversal of 18120997248 is 84279902181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 18120997248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18120997241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17078638 + ... + 17079698.

It is an arithmetic number, because the mean of its divisors is an integer number (381842100).

Almost surely, 218120997248 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 18120997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24437894400).

18120997248 is an abundant number, since it is smaller than the sum of its proper divisors (30754791552).

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

18120997248 is a wasteful number, since it uses less digits than its factorization.

18120997248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 18120997248 in words is "eighteen billion, one hundred twenty million, nine hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 563 632 948 1061 1126 1264 1689 1896 2122 2252 2528 3183 3378 3792 4244 4504 5056 6366 6756 7584 8488 9008 10112 12732 13512 15168 16976 18016 25464 27024 30336 33952 36032 44477 50928 54048 67904 72064 83819 88954 101856 108096 133431 135808 167638 177908 203712 216192 251457 266862 335276 355816 407424 502914 533724 597343 670552 711632 1005828 1067448 1194686 1341104 1423264 1792029 2011656 2134896 2389372 2682208 2846528 3584058 4023312 4269792 4778744 5364416 5693056 7168116 8046624 8539584 9557488 10728832 14336232 16093248 17079168 19114976 28672464 32186496 38229952 47190097 57344928 76459904 94380194 114689856 141570291 188760388 229379712 283140582 377520776 566281164 755041552 1132562328 1510083104 2265124656 3020166208 4530249312 6040332416 9060498624 18120997248