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219115253136 = 2431319292512539
BaseRepresentation
bin1100110000010001001…
…0010110110110010000
3202221120112000011012210
43030010102112312100
512042222001100021
6244354332152120
721554610630663
oct3140422266620
9687515004183
10219115253136
1184a2093686a
1236571308640
131787c611050
14a868a9b6da
155a766c7e76
hex3304496d90

219115253136 has 320 divisors, whose sum is σ = 666707328000. Its totient is φ = 61399296000.

The previous prime is 219115253113. The next prime is 219115253141. The reversal of 219115253136 is 631352511912.

219115253136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2191152531362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 219115253094 and 219115253103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86298555 + ... + 86301093.

It is an arithmetic number, because the mean of its divisors is an integer number (2083460400).

Almost surely, 2219115253136 is an apocalyptic number.

219115253136 is a gapful number since it is divisible by the number (26) 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 219115253136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333353664000).

219115253136 is an abundant number, since it is smaller than the sum of its proper divisors (447592074864).

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

219115253136 is a wasteful number, since it uses less digits than its factorization.

219115253136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2856 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The spelling of 219115253136 in words is "two hundred nineteen billion, one hundred fifteen million, two hundred fifty-three thousand, one hundred thirty-six".