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4125372864 = 263173140771
BaseRepresentation
bin1111010111100100…
…0011000111000000
3101122111121122200120
43311321003013000
531422043412424
61521205020240
7204142043064
oct36571030700
911574548616
104125372864
111827735768
129716b4680
135098aa042
142b1c6baa4
1519228ca79
hexf5e431c0

4125372864 has 112 divisors (see below), whose sum is σ = 11930213376. Its totient is φ = 1252454400.

The previous prime is 4125372859. The next prime is 4125372869. The reversal of 4125372864 is 4682735214.

It is an interprime number because it is at equal distance from previous prime (4125372859) and next prime (4125372869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125372869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80799 + ... + 121569.

Almost surely, 24125372864 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 4125372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965106688).

4125372864 is an abundant number, since it is smaller than the sum of its proper divisors (7804840512).

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

4125372864 is a wasteful number, since it uses less digits than its factorization.

4125372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40834 (or 40824 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 4125372864 is about 64229.0655700361. The cubic root of 4125372864 is about 1603.8154857271.

The spelling of 4125372864 in words is "four billion, one hundred twenty-five million, three hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2976 3162 3264 4216 5952 6324 8432 12648 16864 25296 33728 40771 50592 81542 101184 122313 163084 244626 326168 489252 652336 693107 978504 1263901 1304672 1386214 1957008 2079321 2527802 2609344 2772428 3791703 3914016 4158642 5055604 5544856 7583406 7828032 8317284 10111208 11089712 15166812 16634568 20222416 21486317 22179424 30333624 33269136 40444832 42972634 44358848 60667248 64458951 66538272 80889664 85945268 121334496 128917902 133076544 171890536 242668992 257835804 343781072 515671608 687562144 1031343216 1375124288 2062686432 4125372864