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9949538299392 = 293310146315391
BaseRepresentation
bin1001000011001000111010…
…1100100010111000000000
31022020011111102122021001000
42100302032230202320000
52301003123301040032
633054431011412000
72044554556100526
oct220621654427000
938204442567030
109949538299392
113196636a9351a
1211483542b4000
13572311853193
142657bb376316
15123c24c9ce7c
hex90c8eb22e00

9949538299392 has 320 divisors, whose sum is σ = 29809097809920. Its totient is φ = 3276370944000.

The previous prime is 9949538299369. The next prime is 9949538299451. The reversal of 9949538299392 is 2939928359499.

It is a happy number.

9949538299392 is a `hidden beast` number, since 9 + 9 + 49 + 538 + 2 + 9 + 9 + 39 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646444017 + ... + 646459407.

It is an arithmetic number, because the mean of its divisors is an integer number (93153430656).

Almost surely, 29949538299392 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 9949538299392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904548904960).

9949538299392 is an abundant number, since it is smaller than the sum of its proper divisors (19859559510528).

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

9949538299392 is a wasteful number, since it uses less digits than its factorization.

9949538299392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15982 (or 15960 counting only the distinct ones).

The product of its digits is 3061100160, while the sum is 81.

The spelling of 9949538299392 in words is "nine trillion, nine hundred forty-nine billion, five hundred thirty-eight million, two hundred ninety-nine thousand, three hundred ninety-two".