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5335677468 = 22331123113171
BaseRepresentation
bin1001111100000011…
…11111101000011100
3111202212000111111000
410332001333220130
541411413134333
62241242030300
7246136336662
oct47601775034
914685014430
105335677468
11229893a500
12104aaa8390
1367056b904
143888c0c32
15213661713
hex13e07fa1c

5335677468 has 144 divisors (see below), whose sum is σ = 15696808960. Its totient is φ = 1564596000.

The previous prime is 5335677439. The next prime is 5335677521. The reversal of 5335677468 is 8647765335.

5335677468 is a `hidden beast` number, since 5 + 3 + 3 + 567 + 74 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398523 + ... + 411693.

Almost surely, 25335677468 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 5335677468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848404480).

5335677468 is an abundant number, since it is smaller than the sum of its proper divisors (10361131492).

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

5335677468 is a wasteful number, since it uses less digits than its factorization.

5335677468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13237 (or 13218 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 5335677468 is about 73045.7217638378. The cubic root of 5335677468 is about 1747.4168657609.

The spelling of 5335677468 in words is "five billion, three hundred thirty-five million, six hundred seventy-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 121 124 132 186 198 242 279 297 341 363 372 396 484 558 594 682 726 837 1023 1089 1116 1188 1364 1452 1674 2046 2178 3069 3267 3348 3751 4092 4356 6138 6534 7502 9207 11253 12276 13068 13171 15004 18414 22506 26342 33759 36828 39513 45012 52684 67518 79026 101277 118539 135036 144881 158052 202554 237078 289762 355617 405108 408301 434643 474156 579524 711234 816602 869286 1224903 1303929 1422468 1593691 1633204 1738572 2449806 2607858 3187382 3674709 3911787 4491311 4781073 4899612 5215716 6374764 7349418 7823574 8982622 9562146 11024127 13473933 14343219 14698836 15647148 17965244 19124292 22048254 26947866 28686438 40421799 43029657 44096508 49404421 53895732 57372876 80843598 86059314 98808842 121265397 148213263 161687196 172118628 197617684 242530794 296426526 444639789 485061588 592853052 889279578 1333919367 1778559156 2667838734 5335677468