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215334074136 = 233311013797561
BaseRepresentation
bin1100100010001011101…
…0010011011100011000
3202120211000001100202010
43020202322103130120
512012001010333021
6242531220305520
721362115300336
oct3104272233430
9676730040663
10215334074136
1183360520045
1235896b422a0
13173c913651c
14a5ca828b56
155904778976
hex3222e93718

215334074136 has 128 divisors (see below), whose sum is σ = 562757990400. Its totient is φ = 68584320000.

The previous prime is 215334074119. The next prime is 215334074141. The reversal of 215334074136 is 631470433512.

It is a junction number, because it is equal to n+sod(n) for n = 215334074094 and 215334074103.

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 31 ways as a sum of consecutive naturals, for example, 28475796 + ... + 28483356.

It is an arithmetic number, because the mean of its divisors is an integer number (4396546800).

Almost surely, 2215334074136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215334074136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281378995200).

215334074136 is an abundant number, since it is smaller than the sum of its proper divisors (347423916264).

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

215334074136 is a wasteful number, since it uses less digits than its factorization.

215334074136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 215334074136 in words is "two hundred fifteen billion, three hundred thirty-four million, seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 186 202 248 303 372 379 404 606 744 758 808 1137 1212 1516 2274 2424 3032 3131 4548 6262 7561 9096 9393 11749 12524 15122 18786 22683 23498 25048 30244 35247 37572 38279 45366 46996 60488 70494 75144 76558 90732 93992 114837 140988 153116 181464 229674 234391 281976 306232 459348 468782 703173 763661 918696 937564 1186649 1406346 1527322 1875128 2290983 2373298 2812692 2865619 3054644 3559947 4581966 4746596 5625384 5731238 6109288 7119894 8596857 9163932 9493192 11462476 14239788 17193714 18327864 22924952 23673491 28479576 34387428 47346982 68774856 71020473 88834189 94693964 142040946 177668378 189387928 266502567 284081892 289427519 355336756 533005134 568163784 578855038 710673512 868282557 1066010268 1157710076 1736565114 2132020536 2315420152 3473130228 6946260456 8972253089 17944506178 26916759267 35889012356 53833518534 71778024712 107667037068 215334074136