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145589764464 = 243217531122131
BaseRepresentation
bin1000011110010111010…
…0111000000101110000
3111220210101211100001200
42013211310320011300
54341131434430324
6150514421531200
713342564402464
oct2074564700560
9456711740050
10145589764464
11568206989a1
1224271873b00
1310962974631
147091b704a4
153bc1822ec9
hex21e5d38170

145589764464 has 120 divisors (see below), whose sum is σ = 439557058512. Its totient is φ = 44813383680.

The previous prime is 145589764451. The next prime is 145589764571. The reversal of 145589764464 is 464467985541.

145589764464 is a `hidden beast` number, since 1 + 4 + 5 + 589 + 7 + 6 + 4 + 46 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431322 + ... + 690809.

Almost surely, 2145589764464 is an apocalyptic number.

It is an amenable number.

145589764464 is an abundant number, since it is smaller than the sum of its proper divisors (293967294048).

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

145589764464 is a wasteful number, since it uses less digits than its factorization.

145589764464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122215 (or 1122206 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 145589764464 in words is "one hundred forty-five billion, five hundred eighty-nine million, seven hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 53 68 72 102 106 136 144 153 159 204 212 272 306 318 408 424 477 612 636 816 848 901 954 1224 1272 1802 1908 2448 2544 2703 3604 3816 5406 7208 7632 8109 10812 14416 16218 21624 32436 43248 64872 129744 1122131 2244262 3366393 4488524 6732786 8977048 10099179 13465572 17954096 19076227 20198358 26931144 38152454 40396716 53862288 57228681 59472943 76304908 80793432 114457362 118945886 152609816 161586864 171686043 178418829 228914724 237891772 305219632 343372086 356837658 457829448 475783544 535256487 686744172 713675316 915658896 951567088 1011040031 1070512974 1373488344 1427350632 2022080062 2141025948 2746976688 2854701264 3033120093 4044160124 4282051896 6066240186 8088320248 8564103792 9099360279 12132480372 16176640496 18198720558 24264960744 36397441116 48529921488 72794882232 145589764464