Search a number
-
+
45031322007 = 3474117311197
BaseRepresentation
bin101001111100000100…
…110111000110010111
311022020022101011210000
4221330010313012113
51214211004301012
632404225302343
73152626631040
oct517404670627
9138208334700
1045031322007
1118109009801
128888a949b3
134328559a89
1422728a38c7
151288578ddc
hexa7c137197

45031322007 has 80 divisors (see below), whose sum is σ = 79216264512. Its totient is φ = 24957227520.

The previous prime is 45031321969. The next prime is 45031322023. The reversal of 45031322007 is 70022313054.

45031322007 is a `hidden beast` number, since 4 + 503 + 132 + 20 + 0 + 7 = 666.

It is not a de Polignac number, because 45031322007 - 212 = 45031317911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45031322507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4016133 + ... + 4027329.

Almost surely, 245031322007 is an apocalyptic number.

45031322007 is a deficient number, since it is larger than the sum of its proper divisors (34184942505).

45031322007 is a wasteful number, since it uses less digits than its factorization.

45031322007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 45031322007 in words is "forty-five billion, thirty-one million, three hundred twenty-two thousand, seven".

Divisors: 1 3 7 9 21 27 41 63 81 123 173 189 287 369 519 567 861 1107 1211 1557 2583 3321 3633 4671 7093 7749 10899 11197 14013 21279 23247 32697 33591 49651 63837 78379 98091 100773 148953 191511 235137 302319 446859 459077 574533 705411 906957 1340577 1377231 1937081 2116233 3213539 4021731 4131693 5811243 6348699 9640617 12395079 13559567 17433729 28921851 37185237 40678701 52301187 79420321 86765553 122036103 156903561 238260963 260296659 366108309 555942247 714782889 1098324927 1667826741 2144348667 5003480223 6433046001 15010440669 45031322007