Search a number
-
+
45549737328 = 243832139991
BaseRepresentation
bin101010011010111110…
…011101010101110000
311100120102212101220110
4222122332131111300
51221241213043303
632531504541320
73201523244004
oct523276352560
9140512771813
1045549737328
1118354703917
1289b2621840
1343aba8bbc4
1422c1690704
1512b8d2d703
hexa9af9d570

45549737328 has 120 divisors (see below), whose sum is σ = 120082869760. Its totient is φ = 14877371520.

The previous prime is 45549737327. The next prime is 45549737341. The reversal of 45549737328 is 82373794554.

It is a super-5 number, since 5×455497373285 (a number of 54 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45549737327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45962913 + ... + 45963903.

Almost surely, 245549737328 is an apocalyptic number.

45549737328 is a gapful number since it is divisible by the number (48) 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 45549737328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60041434880).

45549737328 is an abundant number, since it is smaller than the sum of its proper divisors (74533132432).

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

45549737328 is a wasteful number, since it uses less digits than its factorization.

45549737328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1218 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 45549737328 in words is "forty-five billion, five hundred forty-nine million, seven hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 139 166 249 278 332 417 498 556 664 834 991 996 1112 1328 1668 1982 1992 2224 2973 3336 3964 3984 5946 6672 6889 7928 11537 11892 13778 15856 20667 23074 23784 27556 34611 41334 46148 47568 55112 69222 82253 82668 92296 110224 137749 138444 164506 165336 184592 246759 275498 276888 329012 330672 413247 493518 550996 553776 658024 826494 957571 987036 1101992 1316048 1652988 1915142 1974072 2203984 2872713 3305976 3830284 3948144 5745426 6611952 6826999 7660568 11433167 11490852 13653998 15321136 20480997 22866334 22981704 27307996 34299501 40961994 45732668 45963408 54615992 68599002 81923988 91465336 109231984 137198004 163847976 182930672 274396008 327695952 548792016 948952861 1897905722 2846858583 3795811444 5693717166 7591622888 11387434332 15183245776 22774868664 45549737328