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46375232080 = 2451448940009
BaseRepresentation
bin101011001100001011…
…011110001001010000
311102200222011212211011
4223030023132021100
51224434024411310
633145434100304
73231135653152
oct531413361120
9142628155734
1046375232080
1118738678291
128ba2b7a694
1344b0aca238
14235d174ad2
15131653e78a
hexacc2de250

46375232080 has 40 divisors (see below), whose sum is σ = 107832551400. Its totient is φ = 18548348928.

The previous prime is 46375232077. The next prime is 46375232089. The reversal of 46375232080 is 8023257364.

It can be written as a sum of positive squares in 4 ways, for example, as 10731302464 + 35643929616 = 103592^2 + 188796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×463752320802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46375232089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1139116 + ... + 1179124.

It is an arithmetic number, because the mean of its divisors is an integer number (2695813785).

Almost surely, 246375232080 is an apocalyptic number.

46375232080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46375232080 is an abundant number, since it is smaller than the sum of its proper divisors (61457319320).

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

46375232080 is a wasteful number, since it uses less digits than its factorization.

46375232080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54511 (or 54505 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 46375232080 in words is "forty-six billion, three hundred seventy-five million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14489 28978 40009 57956 72445 80018 115912 144890 160036 200045 231824 289780 320072 400090 579560 640144 800180 1159120 1600360 3200720 579690401 1159380802 2318761604 2898452005 4637523208 5796904010 9275046416 11593808020 23187616040 46375232080