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172419039480 = 2335172937227347
BaseRepresentation
bin1010000010010011111…
…0011100000011111000
3121111001011211201110010
42200210332130003320
510311103233230410
6211112550221520
715312463440252
oct2404476340370
9544034751403
10172419039480
1167139064356
12294ba9548a0
131334a17abac
1484b9050cd2
154741dd2c20
hex2824f9c0f8

172419039480 has 512 divisors, whose sum is σ = 586129996800. Its totient is φ = 40356642816.

The previous prime is 172419039479. The next prime is 172419039557. The reversal of 172419039480 is 84930914271.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 496884667 + ... + 496885013.

It is an arithmetic number, because the mean of its divisors is an integer number (1144785150).

Almost surely, 2172419039480 is an apocalyptic number.

172419039480 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 172419039480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293064998400).

172419039480 is an abundant number, since it is smaller than the sum of its proper divisors (413710957320).

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

172419039480 is a wasteful number, since it uses less digits than its factorization.

172419039480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 172419039480 in words is "one hundred seventy-two billion, four hundred nineteen million, thirty-nine thousand, four hundred eighty".