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4376201042472 = 23374118118011949
BaseRepresentation
bin111111101011101001111…
…010001001101000101000
3120111100201222022202122120
4333223221322021220220
51033144424431324342
613150222103551240
7631112225052240
oct77535172115050
916440658282576
104376201042472
111437a33445a26
125a8178a5b520
1325989b99b38c
14111b4887ab20
1578c7d375aec
hex3fae9e89a28

4376201042472 has 256 divisors, whose sum is σ = 12892920768000. Its totient is φ = 1211811840000.

The previous prime is 4376201042377. The next prime is 4376201042497. The reversal of 4376201042472 is 2742401026734.

It is a super-2 number, since 2×43762010424722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 2245356154 + ... + 2245358102.

It is an arithmetic number, because the mean of its divisors is an integer number (50362971750).

Almost surely, 24376201042472 is an apocalyptic number.

4376201042472 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 4376201042472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446460384000).

4376201042472 is an abundant number, since it is smaller than the sum of its proper divisors (8516719725528).

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

4376201042472 is a wasteful number, since it uses less digits than its factorization.

4376201042472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 4376201042472 in words is "four trillion, three hundred seventy-six billion, two hundred one million, forty-two thousand, four hundred seventy-two".