Search a number
-
+
6000492417552 = 2432711787328429
BaseRepresentation
bin101011101010001100100…
…1110000001001000010000
3210020122022122002221210100
41113110121032001020100
51241303002024330202
620432331013132400
71156343536664643
oct127243116011020
923218278087710
106000492417552
111a038815a0006
1280ab2892a100
13346ac838b829
1416a5d536da5a
15a614730441c
hex57519381210

6000492417552 has 120 divisors (see below), whose sum is σ = 17039148085440. Its totient is φ = 1970883290880.

The previous prime is 6000492417527. The next prime is 6000492417593. The reversal of 6000492417552 is 2557142940006.

6000492417552 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 4 + 92 + 4 + 1 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6000492417498 and 6000492417507.

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, 18106074 + ... + 18434502.

It is an arithmetic number, because the mean of its divisors is an integer number (141992900712).

Almost surely, 26000492417552 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 6000492417552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519574042720).

6000492417552 is an abundant number, since it is smaller than the sum of its proper divisors (11038655667888).

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

6000492417552 is a wasteful number, since it uses less digits than its factorization.

6000492417552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330301 (or 330292 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 6000492417552 in words is "six trillion, four hundred ninety-two million, four hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 1787 2556 3408 3574 5112 5361 7148 10224 10722 14296 16083 21444 28592 32166 42888 64332 85776 126877 128664 253754 257328 328429 380631 507508 656858 761262 985287 1015016 1141893 1313716 1522524 1970574 2030032 2283786 2627432 2955861 3045048 3941148 4567572 5254864 5911722 6090096 7882296 9135144 11823444 15764592 18270288 23318459 23646888 46636918 47293776 69955377 93273836 139910754 186547672 209866131 279821508 373095344 419732262 559643016 586902623 839464524 1119286032 1173805246 1678929048 1760707869 2347610492 3357858096 3521415738 4695220984 5282123607 7042831476 9390441968 10564247214 14085662952 21128494428 28171325904 41670086233 42256988856 83340172466 84513977712 125010258699 166680344932 250020517398 333360689864 375030776097 500041034796 666721379728 750061552194 1000082069592 1500123104388 2000164139184 3000246208776 6000492417552