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85234802500 = 225458392
BaseRepresentation
bin100111101100001100…
…0111101111101000100
322011000011022121001001
41033120120331331010
52344030102140000
6103053433343044
76105124603321
oct1173030757504
9264004277031
1085234802500
1133169907741
1214628b67a84
1380648148a3
1441a80bbb48
15233cd5646a
hex13d863df44

85234802500 has 45 divisors (see below), whose sum is σ = 186423393387. Its totient is φ = 34088082000.

The previous prime is 85234802483. The next prime is 85234802557. The reversal of 85234802500 is 520843258.

The square root of 85234802500 is 291950.

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

It can be written as a sum of positive squares in 2 ways, for example, as 6682408516 + 78552393984 = 81746^2 + 280272^2 .

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 85234802500.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14594581 + ... + 14600419.

Almost surely, 285234802500 is an apocalyptic number.

85234802500 is the 291950-th square number.

It is an amenable number.

85234802500 is an abundant number, since it is smaller than the sum of its proper divisors (101188590887).

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

85234802500 is an frugal number, since it uses more digits than its factorization.

85234802500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11702 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 85234802500 in words is "eighty-five billion, two hundred thirty-four million, eight hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 5839 11678 23356 29195 58390 116780 145975 291950 583900 729875 1459750 2919500 3649375 7298750 14597500 34093921 68187842 136375684 170469605 340939210 681878420 852348025 1704696050 3409392100 4261740125 8523480250 17046960500 21308700625 42617401250 85234802500