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10089538950400 = 2852713173171463
BaseRepresentation
bin1001001011010010011101…
…1000101001010100000000
31022201112212022120012210121
42102310213120221110000
52310301333432403100
633243023055310024
72060642116021030
oct222644730512400
938645768505717
1010089538950400
11323aa49781788
12116b50621b314
135825935b2590
1426c49cad38c0
151276baa9c51a
hex92d27629500

10089538950400 has 1728 divisors, whose sum is σ = 34140790849536. Its totient is φ = 2861236224000.

The previous prime is 10089538950377. The next prime is 10089538950551. The reversal of 10089538950400 is 405983598001.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 191 ways as a sum of consecutive naturals, for example, 21791660569 + ... + 21791661031.

It is an arithmetic number, because the mean of its divisors is an integer number (19757402112).

Almost surely, 210089538950400 is an apocalyptic number.

10089538950400 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 10089538950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17070395424768).

10089538950400 is an abundant number, since it is smaller than the sum of its proper divisors (24051251899136).

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

10089538950400 is a wasteful number, since it uses less digits than its factorization.

10089538950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 10089538950400 in words is "ten trillion, eighty-nine billion, five hundred thirty-eight million, nine hundred fifty thousand, four hundred".