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47613386976 = 2535310985853
BaseRepresentation
bin101100010101111110…
…101010000011100000
311112220020222200000220
4230111332222003200
51240003011340401
633512344043040
73303622053201
oct542576520340
9145806880026
1047613386976
11192135743a1
129289763480
13464a49047c
1424397975a8
15138a0b5336
hexb15faa0e0

47613386976 has 96 divisors (see below), whose sum is σ = 128513135520. Its totient is φ = 15428634624.

The previous prime is 47613386969. The next prime is 47613386983. The reversal of 47613386976 is 67968331674.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47613386969) and next prime (47613386983).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511666 + ... + 597518.

It is an arithmetic number, because the mean of its divisors is an integer number (1338678495).

Almost surely, 247613386976 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 47613386976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64256567760).

47613386976 is an abundant number, since it is smaller than the sum of its proper divisors (80899748544).

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

47613386976 is a wasteful number, since it uses less digits than its factorization.

47613386976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86028 (or 86020 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 60.

The spelling of 47613386976 in words is "forty-seven billion, six hundred thirteen million, three hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 109 159 212 218 318 327 424 436 636 654 848 872 1272 1308 1696 1744 2544 2616 3488 5088 5232 5777 10464 11554 17331 23108 34662 46216 69324 85853 92432 138648 171706 184864 257559 277296 343412 515118 554592 686824 1030236 1373648 2060472 2747296 4120944 4550209 8241888 9100418 9357977 13650627 18200836 18715954 27301254 28073931 36401672 37431908 54602508 56147862 72803344 74863816 109205016 112295724 145606688 149727632 218410032 224591448 299455264 436820064 449182896 495972781 898365792 991945562 1487918343 1983891124 2975836686 3967782248 5951673372 7935564496 11903346744 15871128992 23806693488 47613386976