Search a number
-
+
126106045520 = 24571317322259
BaseRepresentation
bin111010101110010000…
…0011000110001010000
3110001111112202212021112
41311130200120301100
54031231121424040
6133533214112452
712053011462250
oct1653440306120
9401445685245
10126106045520
1149532636534
12205347ab728
13bb79232560
14616427b960
153431089365
hex1d5c818c50

126106045520 has 80 divisors (see below), whose sum is σ = 360857320320. Its totient is φ = 39910482432.

The previous prime is 126106045493. The next prime is 126106045553. The reversal of 126106045520 is 25540601621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8653850 + ... + 8668409.

It is an arithmetic number, because the mean of its divisors is an integer number (4510716504).

Almost surely, 2126106045520 is an apocalyptic number.

126106045520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126106045520 is an abundant number, since it is smaller than the sum of its proper divisors (234751274800).

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

126106045520 is a wasteful number, since it uses less digits than its factorization.

126106045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17322292 (or 17322286 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 126106045520 in words is "one hundred twenty-six billion, one hundred six million, forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 17322259 34644518 69289036 86611295 121255813 138578072 173222590 225189367 242511626 277156144 346445180 450378734 485023252 606279065 692890360 900757468 970046504 1125946835 1212558130 1385780720 1576325569 1801514936 1940093008 2251893670 2425116260 3152651138 3603029872 4503787340 4850232520 6305302276 7881627845 9007574680 9700465040 12610604552 15763255690 18015149360 25221209104 31526511380 63053022760 126106045520