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5164076064 = 253773105269
BaseRepresentation
bin1001100111100110…
…11000110000100000
3111022220010020121110
410303303120300200
541034000413224
62212232023320
7241653631230
oct46363306040
914286106543
105164076064
11220aa93864
121001531b40
13643b48714
1436dbb1cc0
15203566929
hex133cd8c20

5164076064 has 96 divisors (see below), whose sum is σ = 15704599680. Its totient is φ = 1455224832.

The previous prime is 5164076059. The next prime is 5164076087. The reversal of 5164076064 is 4606704615.

It is a tau number, because it is divible by the number of its divisors (96).

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, 3579 + ... + 101690.

It is an arithmetic number, because the mean of its divisors is an integer number (163589580).

Almost surely, 25164076064 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 5164076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7852299840).

5164076064 is an abundant number, since it is smaller than the sum of its proper divisors (10540523616).

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

5164076064 is a wasteful number, since it uses less digits than its factorization.

5164076064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105362 (or 105354 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5164076064 is about 71861.5061350651. The cubic root of 5164076064 is about 1728.4794087350.

The spelling of 5164076064 in words is "five billion, one hundred sixty-four million, seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4088 6132 7008 8176 12264 16352 24528 49056 105269 210538 315807 421076 631614 736883 842152 1263228 1473766 1684304 2210649 2526456 2947532 3368608 4421298 5052912 5895064 7684637 8842596 10105824 11790128 15369274 17685192 23053911 23580256 30738548 35370384 46107822 53792459 61477096 70740768 92215644 107584918 122954192 161377377 184431288 215169836 245908384 322754754 368862576 430339672 645509508 737725152 860679344 1291019016 1721358688 2582038032 5164076064