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66834730000 = 245410166173
BaseRepresentation
bin111110001111101010…
…010000110000010000
320101111211100001201101
4332033222100300100
52043334142330000
650411540114144
74554140555143
oct761752206020
9211454301641
1066834730000
112638750a955
1210b52995954
1363c1748a1c
1433404ac05a
151b127c2e6a
hexf8fa90c10

66834730000 has 100 divisors (see below), whose sum is σ = 163418148828. Its totient is φ = 26468800000.

The previous prime is 66834729991. The next prime is 66834730037. The reversal of 66834730000 is 3743866.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 49989805056 + 16844924944 = 223584^2 + 129788^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×668347300002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 976914 + ... + 1043086.

Almost surely, 266834730000 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 66834730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81709074414).

66834730000 is an abundant number, since it is smaller than the sum of its proper divisors (96583418828).

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

66834730000 is a wasteful number, since it uses less digits than its factorization.

66834730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66302 (or 66281 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 66834730000 in words is "sixty-six billion, eight hundred thirty-four million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 66173 101000 126250 132346 202000 252500 264692 330865 505000 529384 661730 1010000 1058768 1323460 1654325 2646920 3308650 5293840 6617300 6683473 8271625 13234600 13366946 16543250 26469200 26733892 33086500 33417365 41358125 53467784 66173000 66834730 82716250 106935568 132346000 133669460 165432500 167086825 267338920 330865000 334173650 534677840 661730000 668347300 835434125 1336694600 1670868250 2673389200 3341736500 4177170625 6683473000 8354341250 13366946000 16708682500 33417365000 66834730000