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253413164412 = 223367139925033
BaseRepresentation
bin1110110000000010011…
…0100000010101111100
3220020002210120120111000
43230000212200111330
513122442232230122
6312225535330300
724210546233262
oct3540046402574
9806083516430
10253413164412
1198521141191
1241143680990
131ab872439c5
14c39dc48432
1568d27c20ac
hex3b009a057c

253413164412 has 96 divisors (see below), whose sum is σ = 667306304000. Its totient is φ = 83147492736.

The previous prime is 253413164371. The next prime is 253413164419. The reversal of 253413164412 is 214461314352.

253413164412 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 1 + 3 + 1 + 644 + 1 + 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 (253413164419) 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, 10110648 + ... + 10135680.

Almost surely, 2253413164412 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 253413164412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333653152000).

253413164412 is an abundant number, since it is smaller than the sum of its proper divisors (413893139588).

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

253413164412 is a wasteful number, since it uses less digits than its factorization.

253413164412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26512 (or 26504 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 253413164412 its reverse (214461314352), we get a palindrome (467874478764).

The spelling of 253413164412 in words is "two hundred fifty-three billion, four hundred thirteen million, one hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1399 1809 2412 2798 3618 4197 5596 7236 8394 12591 16788 25033 25182 37773 50066 50364 75099 75546 93733 100132 150198 151092 187466 225297 281199 300396 374932 450594 562398 675891 843597 901188 1124796 1351782 1677211 1687194 2530791 2703564 3354422 3374388 5031633 5061582 6708844 10063266 10123164 15094899 20126532 30189798 35021167 45284697 60379596 70042334 90569394 105063501 140084668 181138788 210127002 315190503 420254004 630381006 945571509 1260762012 1891143018 2346418189 3782286036 4692836378 7039254567 9385672756 14078509134 21117763701 28157018268 42235527402 63353291103 84471054804 126706582206 253413164412