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60725677376 = 2671322034733
BaseRepresentation
bin111000100011100010…
…000100110101000000
312210202002002000222002
4320203202010311000
51443331233134001
643521430003132
74246560512120
oct704342046500
9183662060862
1060725677376
1123832075231
12b928aa64a8
135959bb9ba0
142d20dd2c80
1518a62e846b
hexe23884d40

60725677376 has 112 divisors (see below), whose sum is σ = 148409460864. Its totient is φ = 24007366656.

The previous prime is 60725677357. The next prime is 60725677393. The reversal of 60725677376 is 67377652706.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12827906 + ... + 12832638.

It is an arithmetic number, because the mean of its divisors is an integer number (1325084472).

Almost surely, 260725677376 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 60725677376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74204730432).

60725677376 is an abundant number, since it is smaller than the sum of its proper divisors (87683783488).

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

60725677376 is a wasteful number, since it uses less digits than its factorization.

60725677376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 56.

The spelling of 60725677376 in words is "sixty billion, seven hundred twenty-five million, six hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2203 2912 4406 4733 5824 8812 9466 15421 17624 18932 28639 30842 33131 35248 37864 57278 61529 61684 66262 70496 75728 114556 123058 123368 132524 140992 151456 200473 229112 246116 246736 265048 302912 400946 430703 458224 492232 493472 530096 801892 861406 916448 984464 986944 1060192 1603784 1722812 1832896 1968928 2120384 3207568 3445624 3937856 6415136 6891248 10426799 12830272 13782496 20853598 27564992 41707196 72987593 83414392 135548387 145975186 166828784 271096774 291950372 333657568 542193548 583900744 667315136 948838709 1084387096 1167801488 1897677418 2168774192 2335602976 3795354836 4337548384 4671205952 7590709672 8675096768 15181419344 30362838688 60725677376