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47789800416 = 253418437423
BaseRepresentation
bin101100100000011111…
…100111101111100000
311120100112221101210000
4230200133213233200
51240333142103131
633542045140000
73311163413121
oct544037475740
9146315841700
1047789800416
11192a4107426
12931885a600
134677ba9a17
142454d9a048
15139a810ce6
hexb207e7be0

47789800416 has 60 divisors (see below), whose sum is σ = 140548483152. Its totient is φ = 15929932608.

The previous prime is 47789800397. The next prime is 47789800423. The reversal of 47789800416 is 61400898774.

It is a happy number.

47789800416 is a `hidden beast` number, since 4 + 77 + 89 + 80 + 0 + 416 = 666.

It is a super-2 number, since 2×477898004162 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9216120 + ... + 9221303.

Almost surely, 247789800416 is an apocalyptic number.

It is an amenable number.

47789800416 is an abundant number, since it is smaller than the sum of its proper divisors (92758682736).

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

47789800416 is a wasteful number, since it uses less digits than its factorization.

47789800416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18437445 (or 18437428 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 47789800416 in words is "forty-seven billion, seven hundred eighty-nine million, eight hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 18437423 36874846 55312269 73749692 110624538 147499384 165936807 221249076 294998768 331873614 442498152 497810421 589997536 663747228 884996304 995620842 1327494456 1493431263 1769992608 1991241684 2654988912 2986862526 3982483368 5309977824 5973725052 7964966736 11947450104 15929933472 23894900208 47789800416