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99701915040 = 2534572132929
BaseRepresentation
bin101110011011010110…
…0100111110110100000
3100112100101202001120000
41130312230213312200
53113142142240130
6113445154020000
710126464203100
oct1346654476640
9315311661500
1099701915040
113931314a4a2
12173a5b77600
13952bb32500
144b7b629200
1528d7ea8260
hex1736b27da0

99701915040 has 1080 divisors, whose sum is σ = 443696562540. Its totient is φ = 21013364736.

The previous prime is 99701915039. The next prime is 99701915057. The reversal of 99701915040 is 4051910799.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 99701851536 = 252^2 + 315756^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 107321296 + ... + 107322224.

Almost surely, 299701915040 is an apocalyptic number.

99701915040 is a gapful number since it is divisible by the number (90) 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 99701915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221848281270).

99701915040 is an abundant number, since it is smaller than the sum of its proper divisors (343994647500).

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

99701915040 is a wasteful number, since it uses less digits than its factorization.

99701915040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 99701915040 in words is "ninety-nine billion, seven hundred one million, nine hundred fifteen thousand, forty".