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4125347568 = 2432173154361
BaseRepresentation
bin1111010111100011…
…1100111011110000
3101122111120100222200
43311320330323300
531422042110233
61521204303200
7204141606246
oct36570747360
911574510880
104125347568
111827718761
129716a1b00
1350989b684
142b1c62796
15192285313
hexf5e3cef0

4125347568 has 120 divisors (see below), whose sum is σ = 12618942336. Its totient is φ = 1252454400.

The previous prime is 4125347563. The next prime is 4125347573. The reversal of 4125347568 is 8657435214.

4125347568 is a `hidden beast` number, since 41 + 2 + 5 + 3 + 47 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (4125347563) and next prime (4125347573).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125347563) 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, 48708 + ... + 103068.

Almost surely, 24125347568 is an apocalyptic number.

4125347568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125347568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309471168).

4125347568 is an abundant number, since it is smaller than the sum of its proper divisors (8493594768).

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

4125347568 is a wasteful number, since it uses less digits than its factorization.

4125347568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54423 (or 54414 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 4125347568 is about 64228.8686495411. The cubic root of 4125347568 is about 1603.8122076234.

The spelling of 4125347568 in words is "four billion, one hundred twenty-five million, three hundred forty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 2108 2232 2448 3162 4216 4464 4743 6324 8432 9486 12648 18972 25296 37944 54361 75888 108722 163083 217444 326166 434888 489249 652332 869776 924137 978498 1304664 1685191 1848274 1956996 2609328 2772411 3370382 3696548 3913992 5055573 5544822 6740764 7393096 7827984 8317233 10111146 11089644 13481528 14786192 15166719 16634466 20222292 22179288 26963056 28648247 30333438 33268932 40444584 44358576 57296494 60666876 66537864 80889168 85944741 114592988 121333752 133075728 171889482 229185976 242667504 257834223 343778964 458371952 515668446 687557928 1031336892 1375115856 2062673784 4125347568