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47469112992 = 253572197983
BaseRepresentation
bin101100001101011000…
…010010111010100000
311112112012111210100000
4230031120102322200
51234204043103432
633450151500000
73300220542300
oct541530227240
9145465453300
1047469112992
111914a0931a4
129249387600
134626617952
14242455d600
15137c5b757c
hexb0d612ea0

47469112992 has 864 divisors, whose sum is σ = 175677465600. Its totient is φ = 12533294592.

The previous prime is 47469112877. The next prime is 47469112993. The reversal of 47469112992 is 29921196474.

47469112992 is a `hidden beast` number, since 474 + 69 + 1 + 1 + 29 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47469112993) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 571916983 + ... + 571917065.

It is an arithmetic number, because the mean of its divisors is an integer number (203330400).

Almost surely, 247469112992 is an apocalyptic number.

47469112992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47469112992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87838732800).

47469112992 is an abundant number, since it is smaller than the sum of its proper divisors (128208352608).

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

47469112992 is a wasteful number, since it uses less digits than its factorization.

47469112992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

It can be divided in two parts, 47469 and 112992, that added together give a triangular number (160461 = T566).

The spelling of 47469112992 in words is "forty-seven billion, four hundred sixty-nine million, one hundred twelve thousand, nine hundred ninety-two".