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47238755663310 = 23547325110305341
BaseRepresentation
bin10101011110110101000010…
…10000000011110111001110
320012020222111002210100122120
422233122201100003313032
522142424432422211220
6244245103524153410
712643613255004051
oct1257324120036716
9205228432710576
1047238755663310
1114062931073022
12536b22b838866
1320487985488c3
14b94521a0ca98
1556dbc5ecea40
hex2af6a1403dce

47238755663310 has 64 divisors (see below), whose sum is σ = 115820831867904. Its totient is φ = 12325186640000.

The previous prime is 47238755663243. The next prime is 47238755663321. The reversal of 47238755663310 is 1336655783274.

47238755663310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×472387556633102 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568761 + ... + 9736580.

It is an arithmetic number, because the mean of its divisors is an integer number (1809700497936).

Almost surely, 247238755663310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47238755663310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57910415933952).

47238755663310 is an abundant number, since it is smaller than the sum of its proper divisors (68582076204594).

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

47238755663310 is a wasteful number, since it uses less digits than its factorization.

47238755663310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10308649.

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 47238755663310 in words is "forty-seven trillion, two hundred thirty-eight billion, seven hundred fifty-five million, six hundred sixty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 3251 6502 9753 16255 19506 32510 48765 97530 152797 305594 458391 763985 916782 1527970 2291955 4583910 10305341 20610682 30916023 51526705 61832046 103053410 154580115 309160230 484351027 968702054 1453053081 2421755135 2906106162 4843510270 7265265405 14530530810 33502663591 67005327182 100507990773 167513317955 201015981546 335026635910 502539953865 1005079907730 1574625188777 3149250377554 4723875566331 7873125943885 9447751132662 15746251887770 23619377831655 47238755663310