Search a number
-
+
10060538113248 = 2537223794312731
BaseRepresentation
bin1001001001100110011011…
…0011001110110011100000
31022121210000012101001011220
42102121212303032303200
52304312440224110443
633221425234535040
72055564340665300
oct222314663166340
938553005331156
1010060538113248
11322971753a577
121165971a37480
1357c9212235cc
1426ad0b259600
15126a6ea3ba83
hex92666ccece0

10060538113248 has 576 divisors, whose sum is σ = 32549256069120. Its totient is φ = 2707370265600.

The previous prime is 10060538113193. The next prime is 10060538113253. The reversal of 10060538113248 is 84231183506001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3683828043 + ... + 3683830773.

It is an arithmetic number, because the mean of its divisors is an integer number (56509125120).

Almost surely, 210060538113248 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 10060538113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16274628034560).

10060538113248 is an abundant number, since it is smaller than the sum of its proper divisors (22488717955872).

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

10060538113248 is a wasteful number, since it uses less digits than its factorization.

10060538113248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10060538113248 in words is "ten trillion, sixty billion, five hundred thirty-eight million, one hundred thirteen thousand, two hundred forty-eight".