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4316900688 = 24321271371723
BaseRepresentation
bin1000000010100111…
…01010110101010000
3102010212000021110200
410001103222311100
532320111310223
61552210055200
7211656023202
oct40123526520
912125007420
104316900688
111915861421
12a0587a500
1353a489009
142cd486772
151a3ec1a43
hex1014ead50

4316900688 has 120 divisors (see below), whose sum is σ = 12272452608. Its totient is φ = 1416393216.

The previous prime is 4316900657. The next prime is 4316900689. The reversal of 4316900688 is 8860096134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4316900689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2504595 + ... + 2506317.

Almost surely, 24316900688 is an apocalyptic number.

4316900688 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 4316900688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136226304).

4316900688 is an abundant number, since it is smaller than the sum of its proper divisors (7955551920).

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

4316900688 is a wasteful number, since it uses less digits than its factorization.

4316900688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4316900688 is about 65703.1254051130. The cubic root of 4316900688 is about 1628.2609940414.

The spelling of 4316900688 in words is "four billion, three hundred sixteen million, nine hundred thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 137 144 254 274 381 411 508 548 762 822 1016 1096 1143 1233 1524 1644 1723 2032 2192 2286 2466 3048 3288 3446 4572 4932 5169 6096 6576 6892 9144 9864 10338 13784 15507 17399 18288 19728 20676 27568 31014 34798 41352 52197 62028 69596 82704 104394 124056 139192 156591 208788 218821 236051 248112 278384 313182 417576 437642 472102 626364 656463 708153 835152 875284 944204 1252728 1312926 1416306 1750568 1888408 1969389 2124459 2505456 2625852 2832612 3501136 3776816 3938778 4248918 5251704 5665224 7877556 8497836 10503408 11330448 15755112 16995672 29978477 31510224 33991344 59956954 89935431 119913908 179870862 239827816 269806293 359741724 479655632 539612586 719483448 1079225172 1438966896 2158450344 4316900688