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2132153464 = 2372173110321
BaseRepresentation
bin111111100010110…
…0001010001111000
312111121000121200211
41333011201101320
513331312402324
6551323240504
7103560001600
oct17705412170
95447017624
102132153464
119a45aa501
124b6079134
1327c96808c
14163259c00
15c72b9294
hex7f161478

2132153464 has 96 divisors (see below), whose sum is σ = 5083378560. Its totient is φ = 832204800.

The previous prime is 2132153459. The next prime is 2132153479. The reversal of 2132153464 is 4643512312.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 201424 + ... + 211744.

It is an arithmetic number, because the mean of its divisors is an integer number (52951860).

Almost surely, 22132153464 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 2132153464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541689280).

2132153464 is an abundant number, since it is smaller than the sum of its proper divisors (2951225096).

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

2132153464 is a wasteful number, since it uses less digits than its factorization.

2132153464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10378 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 2132153464 is about 46175.2473084877. The cubic root of 2132153464 is about 1287.0818125182.

Adding to 2132153464 its reverse (4643512312), we get a palindrome (6775665776).

The spelling of 2132153464 in words is "two billion, one hundred thirty-two million, one hundred fifty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 31 34 49 56 62 68 98 119 124 136 196 217 238 248 392 434 476 527 833 868 952 1054 1519 1666 1736 2108 3038 3332 3689 4216 6076 6664 7378 10321 12152 14756 20642 25823 29512 41284 51646 72247 82568 103292 144494 175457 206584 288988 319951 350914 505729 577976 639902 701828 1011458 1228199 1279804 1403656 2022916 2239657 2456398 2559608 4045832 4479314 4912796 5439167 8597393 8958628 9825592 10878334 15677599 17194786 17917256 21756668 31355198 34389572 38074169 43513336 62710396 68779144 76148338 125420792 152296676 266519183 304593352 533038366 1066076732 2132153464