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10215947412 = 223211163158269
BaseRepresentation
bin10011000001110101…
…01111110010010100
3222100222002220021200
421200322233302110
5131410240304122
64405415112500
7511106056146
oct114072576224
928328086250
1010215947412
1143726aa550
121b91372730
13c6a6693c8
146ccad6c96
153ebd175ac
hex260eafc94

10215947412 has 72 divisors (see below), whose sum is σ = 28344257760. Its totient is φ = 3076729920.

The previous prime is 10215947389. The next prime is 10215947429. The reversal of 10215947412 is 21474951201.

10215947412 is a `hidden beast` number, since 1 + 0 + 21 + 594 + 7 + 41 + 2 = 666.

10215947412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 14587 + ... + 143682.

Almost surely, 210215947412 is an apocalyptic number.

10215947412 is a gapful number since it is divisible by the number (12) 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 10215947412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172128880).

10215947412 is an abundant number, since it is smaller than the sum of its proper divisors (18128310348).

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

10215947412 is a wasteful number, since it uses less digits than its factorization.

10215947412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158453 (or 158448 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10215947412 in words is "ten billion, two hundred fifteen million, nine hundred forty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 163 198 326 396 489 652 978 1467 1793 1956 2934 3586 5379 5868 7172 10758 16137 21516 32274 64548 158269 316538 474807 633076 949614 1424421 1740959 1899228 2848842 3481918 5222877 5697684 6963836 10445754 15668631 20891508 25797847 31337262 51595694 62674524 77393541 103191388 154787082 232180623 283776317 309574164 464361246 567552634 851328951 928722492 1135105268 1702657902 2553986853 3405315804 5107973706 10215947412