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172074381480 = 23345176314951
BaseRepresentation
bin1010000001000001101…
…1101011000010101000
3121110011011022021120000
42200100123223002220
510304402020201410
6211014435103000
715301110052401
oct2402033530250
9543134267500
10172074381480
1166a81558731
1229423441a60
13132c3945351
1484853749a8
154721a01dc0
hex28106eb0a8

172074381480 has 320 divisors, whose sum is σ = 613476737280. Its totient is φ = 43110144000.

The previous prime is 172074381473. The next prime is 172074381509. The reversal of 172074381480 is 84183470271.

172074381480 is a `hidden beast` number, since 1 + 7 + 20 + 74 + 3 + 81 + 480 = 666.

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 79 ways as a sum of consecutive naturals, for example, 34753005 + ... + 34757955.

It is an arithmetic number, because the mean of its divisors is an integer number (1917114804).

Almost surely, 2172074381480 is an apocalyptic number.

172074381480 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 172074381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306738368640).

172074381480 is an abundant number, since it is smaller than the sum of its proper divisors (441402355800).

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

172074381480 is a wasteful number, since it uses less digits than its factorization.

172074381480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 172074381480 in words is "one hundred seventy-two billion, seventy-four million, three hundred eighty-one thousand, four hundred eighty".