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47791123680 = 253599564841
BaseRepresentation
bin101100100000100100…
…101010110011100000
311120100122102121221210
4230200210222303200
51240334011424210
633542133350120
73311210564046
oct544044526340
9146318377853
1047791123680
11192a4930633
129319198340
134678251111
142455222396
15139a9c2e20
hexb2092ace0

47791123680 has 48 divisors (see below), whose sum is σ = 150542041104. Its totient is φ = 12744299520.

The previous prime is 47791123669. The next prime is 47791123687. The reversal of 47791123680 is 8632119774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47791123687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49781941 + ... + 49782900.

It is an arithmetic number, because the mean of its divisors is an integer number (3136292523).

Almost surely, 247791123680 is an apocalyptic number.

47791123680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47791123680 is an abundant number, since it is smaller than the sum of its proper divisors (102750917424).

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

47791123680 is a wasteful number, since it uses less digits than its factorization.

47791123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99564859 (or 99564851 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 47791123680 in words is "forty-seven billion, seven hundred ninety-one million, one hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 99564841 199129682 298694523 398259364 497824205 597389046 796518728 995648410 1194778092 1493472615 1593037456 1991296820 2389556184 2986945230 3186074912 3982593640 4779112368 5973890460 7965187280 9558224736 11947780920 15930374560 23895561840 47791123680