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10415132501400 = 233352111693103567
BaseRepresentation
bin1001011110001111011001…
…0001011110010110011000
31100212200021111021100021000
42113203312101132112120
52331120142410021100
634052351255145000
72123316456364224
oct227436621362630
940780244240230
1010415132501400
11335603a858720
121202632975160
135a71b18c5ab3
14280148d67784
15130dc50c5900
hex978f645e598

10415132501400 has 384 divisors, whose sum is σ = 39159143654400. Its totient is φ = 2523364876800.

The previous prime is 10415132501399. The next prime is 10415132501419. The reversal of 10415132501400 is 410523151401.

10415132501400 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 1 + 3 + 250 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 100512417 + ... + 100615983.

It is an arithmetic number, because the mean of its divisors is an integer number (101976936600).

Almost surely, 210415132501400 is an apocalyptic number.

10415132501400 is a gapful number since it is divisible by the number (10) 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 10415132501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19579571827200).

10415132501400 is an abundant number, since it is smaller than the sum of its proper divisors (28744011153000).

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

10415132501400 is a wasteful number, since it uses less digits than its factorization.

10415132501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105296 (or 105281 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10415132501400 its reverse (410523151401), we get a palindrome (10825655652801).

The spelling of 10415132501400 in words is "ten trillion, four hundred fifteen billion, one hundred thirty-two million, five hundred one thousand, four hundred".