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48626654004 = 2232172337731279
BaseRepresentation
bin101101010010010111…
…111101101100110100
311122111212121222002100
4231102113331230310
51244041410412004
634201101542100
73341004511365
oct552227755464
9148455558070
1048626654004
1119693529965
129510b74930
13477c394266
1424d4199b6c
1513e9017739
hexb525fdb34

48626654004 has 288 divisors, whose sum is σ = 141498040320. Its totient is φ = 13992321024.

The previous prime is 48626653927. The next prime is 48626654029. The reversal of 48626654004 is 40045662684.

48626654004 is a `hidden beast` number, since 4 + 86 + 26 + 6 + 540 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38018637 + ... + 38019915.

It is an arithmetic number, because the mean of its divisors is an integer number (491312640).

Almost surely, 248626654004 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 48626654004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70749020160).

48626654004 is an abundant number, since it is smaller than the sum of its proper divisors (92871386316).

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

48626654004 is a wasteful number, since it uses less digits than its factorization.

48626654004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 48626654004 in words is "forty-eight billion, six hundred twenty-six million, six hundred fifty-four thousand, four".