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47601663667672 = 23331487143325759
BaseRepresentation
bin10101101001011001000000…
…10000001110110111011000
320020112200012210020010012011
422310230200100032313120
522214401201344331142
6245123522530155304
713012051413103102
oct1264544020166730
9206480183203164
1047601663667672
1114192830193074
125409630a22b34
132073a8241881a
14ba7d0b900572
15578366362417
hex2b4b2040edd8

47601663667672 has 64 divisors (see below), whose sum is σ = 89772676761600. Its totient is φ = 23662757733120.

The previous prime is 47601663667667. The next prime is 47601663667681. The reversal of 47601663667672 is 27676636610674.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47601663667598 and 47601663667607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1847949529 + ... + 1847975287.

It is an arithmetic number, because the mean of its divisors is an integer number (1402698074400).

Almost surely, 247601663667672 is an apocalyptic number.

It is an amenable number.

47601663667672 is a deficient number, since it is larger than the sum of its proper divisors (42171013093928).

47601663667672 is a wasteful number, since it uses less digits than its factorization.

47601663667672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28016 (or 28012 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 67.

The spelling of 47601663667672 in words is "forty-seven trillion, six hundred one billion, six hundred sixty-three million, six hundred sixty-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 8 331 487 662 974 1324 1433 1948 2648 2866 3896 5732 11464 25759 51518 103036 161197 206072 322394 474323 644788 697871 948646 1289576 1395742 1897292 2791484 3794584 5582968 8526229 12544633 17052458 25089266 34104916 36912647 50178532 68209832 73825294 100357064 147650588 230995301 295301176 461990602 923981204 1847962408 4152273523 8304547046 12218086157 16609094092 17976459089 24436172314 33218188184 35952918178 48872344628 71905836356 97744689256 143811672712 5950207958459 11900415916918 23800831833836 47601663667672