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95342000625 = 32542321792
BaseRepresentation
bin101100011001011010…
…0110111100111110001
3100010002112210110100100
41120302310313213301
53030230023010000
6111444405543013
76613443430254
oct1306264674761
9303075713310
1095342000625
113748608a243
1216589a14a69
138cb5795cb1
14488658709b
15273033ba00
hex1632d379f1

95342000625 has 135 divisors (see below), whose sum is σ = 180908316589. Its totient is φ = 48366516000.

The previous prime is 95342000603. The next prime is 95342000629. The reversal of 95342000625 is 52600024359.

The square root of 95342000625 is 308775.

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

95342000625 is a `hidden beast` number, since 9 + 5 + 3 + 4 + 20 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7474812849 + 87867187776 = 86457^2 + 296424^2 .

It is not a de Polignac number, because 95342000625 - 27 = 95342000497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 95342000625.

It is not an unprimeable number, because it can be changed into a prime (95342000629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 532636786 + ... + 532636964.

Almost surely, 295342000625 is an apocalyptic number.

95342000625 is the 308775-th square number.

95342000625 is the 154388-th centered octagonal number.

It is an amenable number.

95342000625 is a deficient number, since it is larger than the sum of its proper divisors (85566315964).

95342000625 is an equidigital number, since it uses as much as digits as its factorization.

95342000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 95342000625 by its sum of digits (36), we get a square (3432312022500 = 18526502).

The spelling of 95342000625 in words is "ninety-five billion, three hundred forty-two million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 23 25 45 69 75 115 125 179 207 225 345 375 529 537 575 625 895 1035 1125 1587 1611 1725 1875 2645 2685 2875 4117 4475 4761 5175 5625 7935 8055 8625 12351 13225 13425 14375 20585 22375 23805 25875 32041 37053 39675 40275 43125 61755 66125 67125 94691 96123 102925 111875 119025 129375 160205 185265 198375 201375 284073 288369 308775 330625 335625 473455 480615 514625 595125 736943 801025 852219 926325 991875 1006875 1420365 1441845 1543875 2210829 2367275 2403075 2573125 2975625 3684715 4005125 4261095 4631625 6632487 7101825 7209225 7719375 11054145 11836375 12015375 16949689 18423575 20025625 21305475 23158125 33162435 35509125 36046125 50849067 55270725 59181875 60076875 84748445 92117875 106527375 152547201 165812175 177545625 180230625 254245335 276353625 423742225 460589375 532636875 762736005 829060875 1271226675 1381768125 2118711125 3813680025 4145304375 6356133375 10593555625 19068400125 31780666875 95342000625