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48337900380 = 223257113193741
BaseRepresentation
bin101101000001001010…
…011101001101011100
311121202202021202120200
4231001022131031130
51242444000303010
634112304543500
73330600242160
oct550112351534
9147682252520
1048337900380
1119555537000
129450321b90
134734603423
1424a7ab2ca0
1513cd9cacc0
hexb4129d35c

48337900380 has 1152 divisors, whose sum is σ = 204120483840. Its totient is φ = 9032601600.

The previous prime is 48337900337. The next prime is 48337900433. The reversal of 48337900380 is 8300973384.

It is a happy number.

48337900380 is a `hidden beast` number, since 483 + 3 + 7 + 90 + 0 + 3 + 80 = 666.

It is a super-2 number, since 2×483379003802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1178973160 + ... + 1178973200.

It is an arithmetic number, because the mean of its divisors is an integer number (177187920).

Almost surely, 248337900380 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 48337900380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102060241920).

48337900380 is an abundant number, since it is smaller than the sum of its proper divisors (155782583460).

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

48337900380 is a wasteful number, since it uses less digits than its factorization.

48337900380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 48337900380 in words is "forty-eight billion, three hundred thirty-seven million, nine hundred thousand, three hundred eighty".