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47645420316 = 223132229102593
BaseRepresentation
bin101100010111111000…
…110110101100011100
311112222111021010111220
4230113320312230130
51240034211422231
633515450413340
73304461250644
oct542770665434
9145874233456
1047645420316
111922a66352a
129298431250
134653cc7b00
14243db35524
15138cce1896
hexb17e36b1c

47645420316 has 72 divisors (see below), whose sum is σ = 120909080880. Its totient is φ = 14595969024.

The previous prime is 47645420287. The next prime is 47645420327. The reversal of 47645420316 is 61302454674.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413116 + ... + 515708.

It is an arithmetic number, because the mean of its divisors is an integer number (1679292790).

Almost surely, 247645420316 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 47645420316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60454540440).

47645420316 is an abundant number, since it is smaller than the sum of its proper divisors (73263660564).

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

47645420316 is a wasteful number, since it uses less digits than its factorization.

47645420316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102855 (or 102840 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 47645420316 in words is "forty-seven billion, six hundred forty-five million, four hundred twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 229 338 458 507 676 687 916 1014 1374 2028 2748 2977 5954 8931 11908 17862 35724 38701 77402 102593 116103 154804 205186 232206 307779 410372 464412 615558 1231116 1333709 2667418 4001127 5334836 8002254 16004508 17338217 23493797 34676434 46987594 52014651 69352868 70481391 93975188 104029302 140962782 208058604 281925564 305419361 610838722 916258083 1221677444 1832516166 3665032332 3970451693 7940903386 11911355079 15881806772 23822710158 47645420316