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4473999072 = 2532172833229
BaseRepresentation
bin1000010101010101…
…11100111011100000
3102112210121200221100
410022222330323200
533130320432242
62015541154400
7215604236034
oct41252747340
912483550840
104473999072
1119965017a4
12a4a3bba00
13563ba1b3a
1430629c1c4
151b2ba454c
hex10aabcee0

4473999072 has 144 divisors (see below), whose sum is σ = 13523131440. Its totient is φ = 1398214656.

The previous prime is 4473999071. The next prime is 4473999073. The reversal of 4473999072 is 2709993744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4473999071) and next prime (4473999073).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×44739990722 = 40033335392513722368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4473999071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1383954 + ... + 1387182.

It is an arithmetic number, because the mean of its divisors is an integer number (93910635).

Almost surely, 24473999072 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 4473999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761565720).

4473999072 is an abundant number, since it is smaller than the sum of its proper divisors (9049132368).

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

4473999072 is a wasteful number, since it uses less digits than its factorization.

4473999072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 4473999072 is about 66887.9590957894. The cubic root of 4473999072 is about 1647.7777334011. Note that the first 4 decimals are identical.

The spelling of 4473999072 in words is "four billion, four hundred seventy-three million, nine hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 283 288 306 408 544 566 612 816 849 1132 1224 1632 1698 2264 2448 2547 3229 3396 4528 4811 4896 5094 6458 6792 9056 9622 9687 10188 12916 13584 14433 19244 19374 20376 25832 27168 28866 29061 38488 38748 40752 43299 51664 54893 57732 58122 76976 77496 81504 86598 103328 109786 115464 116244 153952 154992 164679 173196 219572 230928 232488 309984 329358 346392 439144 461856 464976 494037 658716 692784 878288 913807 929952 988074 1317432 1385568 1756576 1827614 1976148 2634864 2741421 3655228 3952296 5269728 5482842 7310456 7904592 8224263 10965684 14620912 15534719 15809184 16448526 21931368 29241824 31069438 32897052 43862736 46604157 62138876 65794104 87725472 93208314 124277752 131588208 139812471 186416628 248555504 263176416 279624942 372833256 497111008 559249884 745666512 1118499768 1491333024 2236999536 4473999072