Search a number
-
+
4375396002432 = 273721319941441
BaseRepresentation
bin111111101010111001111…
…011001010101010000000
3120111021122212111111022210
4333222321323022222000
51033141302334034212
613150010145102120
7631053251244600
oct77527173125200
916437585444283
104375396002432
11143765aa82484
125a7b93327940
132597a0c72420
14111aad99cc00
1578c3285553c
hex3fab9ecaa80

4375396002432 has 384 divisors, whose sum is σ = 15325922606400. Its totient is φ = 1093215191040.

The previous prime is 4375396002427. The next prime is 4375396002499. The reversal of 4375396002432 is 2342006935734.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×43753960024322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4176832 + ... + 5118272.

Almost surely, 24375396002432 is an apocalyptic number.

4375396002432 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 4375396002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662961303200).

4375396002432 is an abundant number, since it is smaller than the sum of its proper divisors (10950526603968).

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

4375396002432 is a wasteful number, since it uses less digits than its factorization.

4375396002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941504 (or 941485 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 4375396002432 in words is "four trillion, three hundred seventy-five billion, three hundred ninety-six million, two thousand, four hundred thirty-two".