Search a number
-
+
534709142496 = 253231571110487
BaseRepresentation
bin1111100011111110010…
…01100000001111100000
31220010011210120211200200
413301333021200033200
532230041020024441
61045350400345200
753426406501534
oct7617711401740
91803153524620
10534709142496
11196850409a31
1287769015200
133b566025109
141bc46c59bc4
15dd97dad7b6
hex7c7f2603e0

534709142496 has 144 divisors (see below), whose sum is σ = 1570054606848. Its totient is φ = 172440172800.

The previous prime is 534709142483. The next prime is 534709142567. The reversal of 534709142496 is 694241907435.

534709142496 is a `hidden beast` number, since 5 + 3 + 4 + 7 + 0 + 9 + 142 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5347091424962 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50982565 + ... + 50993051.

It is an arithmetic number, because the mean of its divisors is an integer number (10903156992).

Almost surely, 2534709142496 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 534709142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785027303424).

534709142496 is an abundant number, since it is smaller than the sum of its proper divisors (1035345464352).

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

534709142496 is a wasteful number, since it uses less digits than its factorization.

534709142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16245 (or 16234 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 534709142496 in words is "five hundred thirty-four billion, seven hundred nine million, one hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 5711 8928 10487 11422 17133 20974 22844 31461 34266 41948 45688 51399 62922 68532 83896 91376 94383 102798 125844 137064 167792 177041 182752 188766 205596 251688 274128 325097 335584 354082 377532 411192 503376 531123 548256 650194 708164 755064 822384 975291 1006752 1062246 1300388 1416328 1510128 1593369 1644768 1950582 2124492 2600776 2832656 2925873 3020256 3186738 3901164 4248984 5201552 5665312 5851746 6373476 7802328 8497968 10403104 11703492 12746952 15604656 16995936 23406984 25493904 31209312 46813968 50987808 59891257 93627936 119782514 179673771 239565028 359347542 479130056 539021313 718695084 958260112 1078042626 1437390168 1856628967 1916520224 2156085252 2874780336 3713257934 4312170504 5569886901 5749560672 7426515868 8624341008 11139773802 14853031736 16709660703 17248682016 22279547604 29706063472 33419321406 44559095208 59412126944 66838642812 89118190416 133677285624 178236380832 267354571248 534709142496