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214572006984 = 233371791349917
BaseRepresentation
bin1100011111010101111…
…1001111111001001000
3202111211220002100010210
43013311133033321020
512003420413210414
6242323434441120
721334202652246
oct3076537177110
9674756070123
10214572006984
1182aaa338785
12357038931a0
13173072a530a
14a557535796
1558ac8e5e59
hex31f57cfe48

214572006984 has 64 divisors (see below), whose sum is σ = 554006347200. Its totient is φ = 69202093824.

The previous prime is 214572006977. The next prime is 214572007049. The reversal of 214572006984 is 489600275412.

It is a super-2 number, since 2×2145720069842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516007 + ... + 833910.

It is an arithmetic number, because the mean of its divisors is an integer number (8656349175).

Almost surely, 2214572006984 is an apocalyptic number.

214572006984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214572006984 is an abundant number, since it is smaller than the sum of its proper divisors (339434340216).

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

214572006984 is a wasteful number, since it uses less digits than its factorization.

214572006984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350142 (or 1350138 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 214572006984 in words is "two hundred fourteen billion, five hundred seventy-two million, six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 179 222 296 358 444 537 716 888 1074 1432 2148 4296 6623 13246 19869 26492 39738 52984 79476 158952 1349917 2699834 4049751 5399668 8099502 10799336 16199004 32398008 49946929 99893858 149840787 199787716 241635143 299681574 399575432 483270286 599363148 724905429 966540572 1198726296 1449810858 1933081144 2899621716 5799243432 8940500291 17881000582 26821500873 35762001164 53643001746 71524002328 107286003492 214572006984