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215901481104 = 2434129072
BaseRepresentation
bin1100100100010010111…
…0110010100010010000
3202122021112201121210000
43021010232302202100
512014131234343404
6243103410010000
721412145211141
oct3110456624220
9678245647700
10215901481104
1183621837321
1235a14b76900
131748985caaa
14a641d29ac8
1559394a9339
hex3244bb2890

215901481104 has 75 divisors (see below), whose sum is σ = 624929942307. Its totient is φ = 71961584544.

The previous prime is 215901481069. The next prime is 215901481109. The reversal of 215901481104 is 401184109512.

The square root of 215901481104 is 464652.

It is a perfect power (a square), and thus also a powerful number.

215901481104 is a `hidden beast` number, since 21 + 59 + 0 + 1 + 481 + 104 = 666.

It is a super-2 number, since 2×2159014811042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (215901481109) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16721019 + ... + 16733925.

Almost surely, 2215901481104 is an apocalyptic number.

215901481104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

215901481104 is the 464652-nd square number.

It is an amenable number.

215901481104 is an abundant number, since it is smaller than the sum of its proper divisors (409028461203).

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

215901481104 is an frugal number, since it uses more digits than its factorization.

215901481104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25834 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Multiplying 215901481104 by its sum of digits (36), we get a square (7772453319744 = 27879122).

215901481104 divided by its sum of digits (36) gives a square (5997263364 = 774422).

The spelling of 215901481104 in words is "two hundred fifteen billion, nine hundred one million, four hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 12907 25814 38721 51628 77442 103256 116163 154884 206512 232326 309768 348489 464652 619536 696978 929304 1045467 1393956 1858608 2090934 2787912 4181868 5575824 8363736 16727472 166590649 333181298 499771947 666362596 999543894 1332725192 1499315841 1999087788 2665450384 2998631682 3998175576 4497947523 5997263364 7996351152 8995895046 11994526728 13493842569 17991790092 23989053456 26987685138 35983580184 53975370276 71967160368 107950740552 215901481104