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216096576 = 26319371601
BaseRepresentation
bin11001110000101…
…01111101000000
3120001121211202220
430320111331000
5420310042301
633235411040
75232535113
oct1470257500
9501554686
10216096576
11100a87613
1260453a80
1335a01ac7
14209b257a
1513e88936
hexce15f40

216096576 has 112 divisors (see below), whose sum is σ = 618500160. Its totient is φ = 66355200.

The previous prime is 216096547. The next prime is 216096581. The reversal of 216096576 is 675690612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134176 + ... + 135776.

Almost surely, 2216096576 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 216096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309250080).

216096576 is an abundant number, since it is smaller than the sum of its proper divisors (402403584).

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

216096576 is a wasteful number, since it uses less digits than its factorization.

216096576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 216096576 is about 14700.2236717677. The cubic root of 216096576 is about 600.0894088983.

The spelling of 216096576 in words is "two hundred sixteen million, ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 148 152 192 222 228 296 304 444 456 592 608 703 888 912 1184 1216 1406 1601 1776 1824 2109 2368 2812 3202 3552 3648 4218 4803 5624 6404 7104 8436 9606 11248 12808 16872 19212 22496 25616 30419 33744 38424 44992 51232 59237 60838 67488 76848 91257 102464 118474 121676 134976 153696 177711 182514 236948 243352 307392 355422 365028 473896 486704 710844 730056 947792 973408 1125503 1421688 1460112 1895584 1946816 2251006 2843376 2920224 3376509 3791168 4502012 5686752 5840448 6753018 9004024 11373504 13506036 18008048 27012072 36016096 54024144 72032192 108048288 216096576