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2696898384 = 2432291733733
BaseRepresentation
bin1010000010111111…
…0110011101010000
320221221200122002100
42200233312131100
521010401222014
61123335520400
7123555154335
oct24057663520
96857618070
102696898384
111164368744
12633229100
1333c96ba7b
141b826698c
1510bb71009
hexa0bf6750

2696898384 has 120 divisors (see below), whose sum is σ = 7855066440. Its totient is φ = 862718976.

The previous prime is 2696898359. The next prime is 2696898461. The reversal of 2696898384 is 4838986962.

2696898384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1038128400 + 1658769984 = 32220^2 + 40728^2 .

It is a super-2 number, since 2×26968983842 = 14546521787243622912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720582 + ... + 724314.

It is an arithmetic number, because the mean of its divisors is an integer number (65458887).

Almost surely, 22696898384 is an apocalyptic number.

2696898384 is a gapful number since it is divisible by the number (24) 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 2696898384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927533220).

2696898384 is an abundant number, since it is smaller than the sum of its proper divisors (5158168056).

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

2696898384 is a wasteful number, since it uses less digits than its factorization.

2696898384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3940 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 2696898384 is about 51931.6703370881. The cubic root of 2696898384 is about 1391.9432448124.

The spelling of 2696898384 in words is "two billion, six hundred ninety-six million, eight hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 173 174 232 261 346 348 464 519 522 692 696 1038 1044 1384 1392 1557 2076 2088 2768 3114 3733 4152 4176 5017 6228 7466 8304 10034 11199 12456 14932 15051 20068 22398 24912 29864 30102 33597 40136 44796 45153 59728 60204 67194 80272 89592 90306 108257 120408 134388 179184 180612 216514 240816 268776 324771 361224 433028 537552 645809 649542 722448 866056 974313 1291618 1299084 1732112 1937427 1948626 2583236 2598168 3874854 3897252 5166472 5196336 5812281 7749708 7794504 10332944 11624562 15499416 15589008 18728461 23249124 30998832 37456922 46498248 56185383 74913844 92996496 112370766 149827688 168556149 224741532 299655376 337112298 449483064 674224596 898966128 1348449192 2696898384