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9900036752816 = 247312771412641
BaseRepresentation
bin1001000000010000100000…
…1011001000010110110000
31022001102201120202010222002
42100010020023020112300
52244200233402042231
633020003013433132
72041153065641000
oct220041013102660
938042646663862
109900036752816
113177644720951
12113a83a33b7a8
1356a753146612
14263242d18000
151227c90680cb
hex901082c85b0

9900036752816 has 80 divisors (see below), whose sum is σ = 22386420302400. Its totient is φ = 4239547361280.

The previous prime is 9900036752797. The next prime is 9900036752863. The reversal of 9900036752816 is 6182576300099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6301856 + ... + 7714496.

It is an arithmetic number, because the mean of its divisors is an integer number (279830253780).

Almost surely, 29900036752816 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 9900036752816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193210151200).

9900036752816 is an abundant number, since it is smaller than the sum of its proper divisors (12486383549584).

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

9900036752816 is a wasteful number, since it uses less digits than its factorization.

9900036752816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413947 (or 1413927 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 9900036752816 in words is "nine trillion, nine hundred billion, thirty-six million, seven hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1277 1372 2554 2744 5108 5488 8939 10216 17878 20432 35756 62573 71512 125146 143024 250292 438011 500584 876022 1001168 1412641 1752044 2825282 3504088 5650564 7008176 9888487 11301128 19776974 22602256 39553948 69219409 79107896 138438818 158215792 276877636 484535863 553755272 969071726 1107510544 1803942557 1938143452 3607885114 3876286904 7215770228 7752573808 12627597899 14431540456 25255195798 28863080912 50510391596 88393185293 101020783192 176786370586 202041566384 353572741172 618752297051 707145482344 1237504594102 1414290964688 2475009188204 4950018376408 9900036752816