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470114984052 = 22357214276917
BaseRepresentation
bin1101101011101010000…
…10010110000001110100
31122221110010021121100000
412311311002112001310
530200243413442202
6555545015351300
745651613301100
oct6656502260164
91587403247300
10470114984052
1117141371a70a
1277140682530
133544084479c
1418a7a18a900
15c36716d91c
hex6d75096074

470114984052 has 216 divisors, whose sum is σ = 1434772501344. Its totient is φ = 134205035328.

The previous prime is 470114984041. The next prime is 470114984063. The reversal of 470114984052 is 250489411074.

470114984052 is a `hidden beast` number, since 4 + 70 + 1 + 1 + 498 + 40 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (470114984041) and next prime (470114984063).

It is a junction number, because it is equal to n+sod(n) for n = 470114983989 and 470114984007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67961698 + ... + 67968614.

It is an arithmetic number, because the mean of its divisors is an integer number (6642465284).

Almost surely, 2470114984052 is an apocalyptic number.

470114984052 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 470114984052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717386250672).

470114984052 is an abundant number, since it is smaller than the sum of its proper divisors (964657517292).

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

470114984052 is a wasteful number, since it uses less digits than its factorization.

470114984052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 470114984052 in words is "four hundred seventy billion, one hundred fourteen million, nine hundred eighty-four thousand, fifty-two".