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39706141696 = 2101324792
BaseRepresentation
bin100100111110101010…
…111010010000000000
310210111012002222200121
4210332222322100000
51122304233013241
630124000230024
72603645431024
oct447652722000
9123435088617
1039706141696
1115926099a41
12784160b314
13398a225100
141cc9556384
151075cdcad1
hex93eaba400

39706141696 has 99 divisors (see below), whose sum is σ = 86128636521. Its totient is φ = 18287652864.

The previous prime is 39706141693. The next prime is 39706141697. The reversal of 39706141696 is 69614160793.

The square root of 39706141696 is 199264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5873689600 + 33832452096 = 76640^2 + 183936^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39706141691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82893585 + ... + 82894063.

Almost surely, 239706141696 is an apocalyptic number.

39706141696 is the 199264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39706141696

39706141696 is an abundant number, since it is smaller than the sum of its proper divisors (46422494825).

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

39706141696 is an frugal number, since it uses more digits than its factorization.

39706141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 39706141696 in words is "thirty-nine billion, seven hundred six million, one hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 479 512 676 832 958 1024 1352 1664 1916 2704 3328 3832 5408 6227 6656 7664 10816 12454 13312 15328 21632 24908 30656 43264 49816 61312 80951 86528 99632 122624 161902 173056 199264 229441 245248 323804 398528 458882 490496 647608 797056 917764 1295216 1594112 1835528 2590432 2982733 3188224 3671056 5180864 5965466 6376448 7342112 10361728 11930932 14684224 20723456 23861864 29368448 38775529 41446912 47723728 58736896 77551058 82893824 95447456 117473792 155102116 190894912 234947584 310204232 381789824 620408464 763579648 1240816928 1527159296 2481633856 3054318592 4963267712 9926535424 19853070848 39706141696