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84632640744 = 23317461449963
BaseRepresentation
bin100111011010001111…
…1111001110011101000
322002110012020121101210
41032310133321303220
52341311424000434
6102514003113120
76054163401561
oct1166437716350
9262405217353
1084632640744
113298aa126a3
121449b3727a0
137c99b40062
14414c131168
15230505cee9
hex13b47f9ce8

84632640744 has 64 divisors (see below), whose sum is σ = 224514037440. Its totient is φ = 26493762560.

The previous prime is 84632640731. The next prime is 84632640751. The reversal of 84632640744 is 44704623648.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 84632640693 and 84632640702.

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, 36894 + ... + 413069.

It is an arithmetic number, because the mean of its divisors is an integer number (3508031835).

Almost surely, 284632640744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84632640744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112257018720).

84632640744 is an abundant number, since it is smaller than the sum of its proper divisors (139881396696).

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

84632640744 is a wasteful number, since it uses less digits than its factorization.

84632640744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450450 (or 450446 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 84632640744 in words is "eighty-four billion, six hundred thirty-two million, six hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 461 922 1383 1844 2766 3688 5532 7837 11064 15674 23511 31348 47022 62696 94044 188088 449963 899926 1349889 1799852 2699778 3599704 5399556 7649371 10799112 15298742 22948113 30597484 45896226 61194968 91792452 183584904 207432943 414865886 622298829 829731772 1244597658 1659463544 2489195316 3526360031 4978390632 7052720062 10579080093 14105440124 21158160186 28210880248 42316320372 84632640744