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2553356412 = 2233172296073
BaseRepresentation
bin1001100000110001…
…0010000001111100
320120221120221112000
42120030102001330
520212124401122
61101211142300
7120163112535
oct23014220174
96527527460
102553356412
1110a0337512
125b3144990
13318cc14a9
141a317d68c
15ee26a0ac
hex9831207c

2553356412 has 96 divisors (see below), whose sum is σ = 7040980800. Its totient is φ = 797423616.

The previous prime is 2553356329. The next prime is 2553356413. The reversal of 2553356412 is 2146533552.

2553356412 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 3 + 5 + 641 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553356413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417408 + ... + 423480.

It is an arithmetic number, because the mean of its divisors is an integer number (73343550).

Almost surely, 22553356412 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 2553356412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520490400).

2553356412 is an abundant number, since it is smaller than the sum of its proper divisors (4487624388).

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

2553356412 is a wasteful number, since it uses less digits than its factorization.

2553356412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6324 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 2553356412 is about 50530.7471941589. The cubic root of 2553356412 is about 1366.7963597193.

Adding to 2553356412 its reverse (2146533552), we get a palindrome (4699889964).

The spelling of 2553356412 in words is "two billion, five hundred fifty-three million, three hundred fifty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 229 306 458 459 612 687 916 918 1374 1836 2061 2748 3893 4122 6073 6183 7786 8244 11679 12146 12366 15572 18219 23358 24292 24732 35037 36438 46716 54657 70074 72876 103241 105111 109314 140148 163971 206482 210222 218628 309723 327942 412964 420444 619446 655884 929169 1238892 1390717 1858338 2781434 2787507 3716676 4172151 5562868 5575014 8344302 11150028 12516453 16688604 23642189 25032906 37549359 47284378 50065812 70926567 75098718 94568756 141853134 150197436 212779701 283706268 425559402 638339103 851118804 1276678206 2553356412