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46250137000 = 2353401115337
BaseRepresentation
bin101011000100101110…
…010001010110101000
311102101020210101122001
4223010232101112220
51224210013341000
633125204540344
73225056451364
oct530456212650
9142336711561
1046250137000
1118683aa6521
128b690b16b4
134490c0b192
14234a6d02a4
15130a57e46a
hexac4b915a8

46250137000 has 64 divisors (see below), whose sum is σ = 108496149840. Its totient is φ = 18453760000.

The previous prime is 46250136953. The next prime is 46250137007. The reversal of 46250137000 is 73105264.

It can be written as a sum of positive squares in 8 ways, for example, as 18721354276 + 27528782724 = 136826^2 + 165918^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46250137000.

It is not an unprimeable number, because it can be changed into a prime (46250137007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343332 + ... + 458668.

Almost surely, 246250137000 is an apocalyptic number.

46250137000 is a gapful number since it is divisible by the number (40) 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 46250137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54248074920).

46250137000 is an abundant number, since it is smaller than the sum of its proper divisors (62246012840).

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

46250137000 is a wasteful number, since it uses less digits than its factorization.

46250137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115759 (or 115745 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 46250137000 in words is "forty-six billion, two hundred fifty million, one hundred thirty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 401 500 802 1000 1604 2005 3208 4010 8020 10025 16040 20050 40100 50125 80200 100250 115337 200500 230674 401000 461348 576685 922696 1153370 2306740 2883425 4613480 5766850 11533700 14417125 23067400 28834250 46250137 57668500 92500274 115337000 185000548 231250685 370001096 462501370 925002740 1156253425 1850005480 2312506850 4625013700 5781267125 9250027400 11562534250 23125068500 46250137000