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47532924460 = 22571744574481
BaseRepresentation
bin101100010001001011…
…101101111000101100
311112200122120202012201
4230101023231320230
51234321412040320
633500351311244
73301624122460
oct542113557054
9145618522181
1047532924460
111918210774a
12926681b524
1346368ca708
14242cc104a0
151382ebe70a
hexb112ede2c

47532924460 has 96 divisors (see below), whose sum is σ = 120843612288. Its totient is φ = 15331491840.

The previous prime is 47532924457. The next prime is 47532924463. The reversal of 47532924460 is 6442923574.

47532924460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47532924457) and next prime (47532924463).

It is a self number, because there is not a number n which added to its sum of digits gives 47532924460.

It is not an unprimeable number, because it can be changed into a prime (47532924463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10605420 + ... + 10609900.

It is an arithmetic number, because the mean of its divisors is an integer number (1258787628).

Almost surely, 247532924460 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 47532924460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60421806144).

47532924460 is an abundant number, since it is smaller than the sum of its proper divisors (73310687828).

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

47532924460 is a wasteful number, since it uses less digits than its factorization.

47532924460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8971 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 47532924460 in words is "forty-seven billion, five hundred thirty-two million, nine hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 4457 4481 8914 8962 17828 17924 22285 22405 31199 31367 44570 44810 62398 62734 75769 76177 89140 89620 124796 125468 151538 152354 155995 156835 303076 304708 311990 313670 378845 380885 530383 533239 623980 627340 757690 761770 1060766 1066478 1515380 1523540 2121532 2132956 2651915 2666195 5303830 5332390 10607660 10664780 19971817 39943634 79887268 99859085 139802719 199718170 279605438 339520889 399436340 559210876 679041778 699013595 1358083556 1398027190 1697604445 2376646223 2796054380 3395208890 4753292446 6790417780 9506584892 11883231115 23766462230 47532924460