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745264128 = 2103724951
BaseRepresentation
bin101100011010111…
…101010000000000
31220221100100012010
4230122331100000
53011241423003
6201541332520
724316432500
oct5432752000
91827310163
10745264128
11352755a74
12189707140
13bb529cbb
1470d9ba00
1545664003
hex2c6bd400

745264128 has 132 divisors (see below), whose sum is σ = 2311177632. Its totient is φ = 212889600.

The previous prime is 745264123. The next prime is 745264133. The reversal of 745264128 is 821462547.

It is an interprime number because it is at equal distance from previous prime (745264123) and next prime (745264133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745264123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148053 + ... + 153003.

Almost surely, 2745264128 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 745264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155588816).

745264128 is an abundant number, since it is smaller than the sum of its proper divisors (1565913504).

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

745264128 is a wasteful number, since it uses less digits than its factorization.

745264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4963 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 745264128 is about 27299.5261497338. The cubic root of 745264128 is about 906.6438902391.

The spelling of 745264128 in words is "seven hundred forty-five million, two hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 4951 5376 6272 7168 9408 9902 10752 12544 14853 18816 19804 21504 25088 29706 34657 37632 39608 50176 59412 69314 75264 79216 103971 118824 138628 150528 158432 207942 237648 242599 277256 316864 415884 475296 485198 554512 633728 727797 831768 950592 970396 1109024 1267456 1455594 1663536 1901184 1940792 2218048 2534912 2911188 3327072 3802368 3881584 4436096 5069824 5822376 6654144 7604736 7763168 8872192 11644752 13308288 15209472 15526336 17744384 23289504 26616576 31052672 35488768 46579008 53233152 62105344 93158016 106466304 124210688 186316032 248421376 372632064 745264128