Search a number
-
+
47752113060 = 22345101928927
BaseRepresentation
bin101100011110001111…
…110110101110100100
311120020221000200110000
4230132033312232210
51240244020104220
633534221301300
73310225156341
oct543617665644
9146227020400
1047752113060
1119284906353
129308104830
134670142a02
14244dd897c8
151397369390
hexb1e3f6ba4

47752113060 has 120 divisors (see below), whose sum is σ = 149952337920. Its totient is φ = 12720960576.

The previous prime is 47752113047. The next prime is 47752113077. The reversal of 47752113060 is 6031125774.

It is a happy number.

47752113060 is a `hidden beast` number, since 4 + 77 + 521 + 1 + 3 + 0 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1636317 + ... + 1665243.

It is an arithmetic number, because the mean of its divisors is an integer number (1249602816).

Almost surely, 247752113060 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 47752113060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74976168960).

47752113060 is an abundant number, since it is smaller than the sum of its proper divisors (102200224860).

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

47752113060 is a wasteful number, since it uses less digits than its factorization.

47752113060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29967 (or 29956 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 47752113060 in words is "forty-seven billion, seven hundred fifty-two million, one hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1019 1620 2038 3057 4076 5095 6114 9171 10190 12228 15285 18342 20380 27513 28927 30570 36684 45855 55026 57854 61140 82539 86781 91710 110052 115708 137565 144635 165078 173562 183420 260343 275130 289270 330156 347124 412695 433905 520686 550260 578540 781029 825390 867810 1041372 1301715 1562058 1650780 1735620 2343087 2603430 3124116 3905145 4686174 5206860 7810290 9372348 11715435 15620580 23430870 29476613 46861740 58953226 88429839 117906452 147383065 176859678 265289517 294766130 353719356 442149195 530579034 589532260 795868551 884298390 1061158068 1326447585 1591737102 1768596780 2387605653 2652895170 3183474204 3979342755 4775211306 5305790340 7958685510 9550422612 11938028265 15917371020 23876056530 47752113060