Search a number
-
+
51690474000000 = 273656112293
BaseRepresentation
bin10111100000011001000000…
…10101110100111010000000
320210000120011000020011000000
423300030200111310322000
523233344042321000000
6301534135334000000
713613341063350003
oct1360144025647200
9223016130204000
1051690474000000
1115519897006900
125969b631a6000
1322ac51071bc54
14ca9b91b3b53a
155e98c4000000
hex2f0320574e80

51690474000000 has 2352 divisors, whose sum is σ = 212854969366830. Its totient is φ = 12488256000000.

The previous prime is 51690473999977. The next prime is 51690474000037. The reversal of 51690474000000 is 47409615.

It can be written as a sum of positive squares in 7 ways, for example, as 13791478561344 + 37898995438656 = 3713688^2 + 6156216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 293 ways as a sum of consecutive naturals, for example, 176417999854 + ... + 176418000146.

Almost surely, 251690474000000 is an apocalyptic number.

51690474000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51690474000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106427484683415).

51690474000000 is an abundant number, since it is smaller than the sum of its proper divisors (161164495366830).

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

51690474000000 is an frugal number, since it uses more digits than its factorization.

51690474000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 51690474000000 in words is "fifty-one trillion, six hundred ninety billion, four hundred seventy-four million", and thus it is an aban number.