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2127363472 = 241323597537
BaseRepresentation
bin111111011001100…
…1111110110010000
312111021000021001201
41332303033312100
513324101112342
6551032440544
7103501201603
oct17663176620
95437007051
102127363472
119a1928733
124b4549154
1327b97ba70
1416277033a
15c6b6edb7
hex7eccfd90

2127363472 has 80 divisors (see below), whose sum is σ = 4710948480. Its totient is φ = 923129856.

The previous prime is 2127363461. The next prime is 2127363473. The reversal of 2127363472 is 2743637212.

It is not an unprimeable number, because it can be changed into a prime (2127363473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278488 + ... + 286024.

It is an arithmetic number, because the mean of its divisors is an integer number (58886856).

Almost surely, 22127363472 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 2127363472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355474240).

2127363472 is an abundant number, since it is smaller than the sum of its proper divisors (2583585008).

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

2127363472 is a wasteful number, since it uses less digits than its factorization.

2127363472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7634 counting only the distinct ones).

The product of its digits is 84672, while the sum is 37.

The square root of 2127363472 is about 46123.3506154963. The cubic root of 2127363472 is about 1286.1172581046.

The spelling of 2127363472 in words is "two billion, one hundred twenty-seven million, three hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 59 92 104 118 184 208 236 299 368 472 598 767 944 1196 1357 1534 2392 2714 3068 4784 5428 6136 7537 10856 12272 15074 17641 21712 30148 35282 60296 70564 97981 120592 141128 173351 195962 282256 346702 391924 444683 693404 783848 889366 1386808 1567696 1778732 2253563 2773616 3557464 4507126 5780879 7114928 9014252 10227709 11561758 18028504 20455418 23123516 36057008 40910836 46247032 81821672 92494064 132960217 163643344 265920434 531840868 1063681736 2127363472