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47416070996 = 227191376191051
BaseRepresentation
bin101100001010001101…
…111101001101010100
311112101111200222101122
4230022031331031110
51234102003232441
633441014543112
73266004645020
oct541215751524
9145344628348
1047416070996
1119122154a38
129233667a98
134618635a58
14241b4b3380
151377adb34b
hexb0a37d354

47416070996 has 96 divisors (see below), whose sum is σ = 100810214400. Its totient is φ = 19062086400.

The previous prime is 47416070981. The next prime is 47416071011. The reversal of 47416070996 is 69907061474.

It is a happy number.

47416070996 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 (47416070981) and next prime (47416071011).

It is a hoax number, since the sum of its digits (53) 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 31 ways as a sum of consecutive naturals, for example, 45114671 + ... + 45115721.

It is an arithmetic number, because the mean of its divisors is an integer number (1050106400).

Almost surely, 247416070996 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 47416070996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50405107200).

47416070996 is an abundant number, since it is smaller than the sum of its proper divisors (53394143404).

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

47416070996 is a wasteful number, since it uses less digits than its factorization.

47416070996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 53.

The spelling of 47416070996 in words is "forty-seven billion, four hundred sixteen million, seventy thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 137 266 274 532 548 619 959 1051 1238 1918 2102 2476 2603 3836 4204 4333 5206 7357 8666 10412 11761 14714 17332 18221 19969 23522 29428 36442 39938 47044 72884 79876 82327 84803 139783 143987 164654 169606 279566 287974 329308 339212 559132 575948 593621 650569 1007909 1187242 1301138 1611257 2015818 2374484 2602276 2735753 3222514 4031636 4553983 5471506 6445028 9107966 10943012 11278799 12360811 18215932 19150271 22557598 24721622 38300542 45115196 49443244 76601084 86525677 89127953 173051354 178255906 346102708 356511812 623895671 1247791342 1693431107 2495582684 3386862214 6773724428 11854017749 23708035498 47416070996