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47376067374 = 23310110098609
BaseRepresentation
bin101100000111110101…
…010110101100101110
311112021201102120202000
4230013311112230232
51234011233123444
633433025313130
73265010633256
oct540765265456
9145251376660
1047376067374
1119101611699
1292221957a6
13461026a67c
14241605c966
151374338469
hexb07d56b2e

47376067374 has 64 divisors (see below), whose sum is σ = 106440264000. Its totient is φ = 15618355200.

The previous prime is 47376067373. The next prime is 47376067379.

47376067374 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 47376067374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47376067373) 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, 5498782 + ... + 5507390.

It is an arithmetic number, because the mean of its divisors is an integer number (1663129125).

Almost surely, 247376067374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47376067374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53220132000).

47376067374 is an abundant number, since it is smaller than the sum of its proper divisors (59064196626).

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

47376067374 is a wasteful number, since it uses less digits than its factorization.

47376067374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 47376067374 in words is "forty-seven billion, three hundred seventy-six million, sixty-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1009 1818 2018 2727 3027 5454 6054 8609 9081 17218 18162 25827 27243 51654 54486 77481 101909 154962 203818 232443 305727 464886 611454 869509 917181 1739018 1834362 2608527 2751543 5217054 5503086 7825581 8686481 15651162 17372962 23476743 26059443 46953486 52118886 78178329 156356658 234534987 469069974 877334581 1754669162 2632003743 5264007486 7896011229 15792022458 23688033687 47376067374