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48135852781632 = 26327117321796823
BaseRepresentation
bin10101111000111100000000…
…11001111111000001000000
320022102202001100021202211200
422330132000121333001000
522302124211303003012
6250213145552541200
713065462206462520
oct1274360031770100
9208382040252750
1048135852781632
1114379333aa5950
125495073851800
1320b2264795435
14bc5b0566d680
155871cd74d3dc
hex2bc78067f040

48135852781632 has 672 divisors, whose sum is σ = 174479953889280. Its totient is φ = 12324081623040.

The previous prime is 48135852781631. The next prime is 48135852781633. The reversal of 48135852781632 is 23618725853184.

48135852781632 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 585 + 2 + 7 + 8 + 16 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (48135852781631) and next prime (48135852781633).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 48135852781632.

It is not an unprimeable number, because it can be changed into a prime (48135852781631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7054936173 + ... + 7054942995.

Almost surely, 248135852781632 is an apocalyptic number.

48135852781632 is a gapful number since it is divisible by the number (42) 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 48135852781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87239976944640).

48135852781632 is an abundant number, since it is smaller than the sum of its proper divisors (126344101107648).

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

48135852781632 is a wasteful number, since it uses less digits than its factorization.

48135852781632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9111 (or 9098 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 48135852781632 in words is "forty-eight trillion, one hundred thirty-five billion, eight hundred fifty-two million, seven hundred eighty-one thousand, six hundred thirty-two".