Search a number
-
+
69234834672 = 2433281643887
BaseRepresentation
bin100000001111010110…
…1111011110011110000
320121201002120000101000
41000132231323303300
52113243104202142
651450034442000
75000463245643
oct1003655736360
9217632500330
1069234834672
11273a9294033
1211502733300
1366b4a701c3
1434cb157a5a
151c0336a14c
hex101eb7bcf0

69234834672 has 160 divisors (see below), whose sum is σ = 199972200960. Its totient is φ = 22934499840.

The previous prime is 69234834671. The next prime is 69234834679. The reversal of 69234834672 is 27643843296.

69234834672 is a `hidden beast` number, since 6 + 92 + 3 + 483 + 4 + 6 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69234834671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78054613 + ... + 78055499.

It is an arithmetic number, because the mean of its divisors is an integer number (1249826256).

Almost surely, 269234834672 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 69234834672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99986100480).

69234834672 is an abundant number, since it is smaller than the sum of its proper divisors (130737366288).

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

69234834672 is a wasteful number, since it uses less digits than its factorization.

69234834672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1816 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 69234834672 in words is "sixty-nine billion, two hundred thirty-four million, eight hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 643 843 887 1124 1286 1686 1774 1929 2248 2529 2572 2661 3372 3548 3858 4496 5058 5144 5322 5787 6744 7096 7587 7716 7983 10116 10288 10644 11574 13488 14192 15174 15432 15966 17361 20232 21288 23148 23949 30348 30864 31932 34722 40464 42576 46296 47898 60696 63864 69444 92592 95796 121392 127728 138888 180683 191592 249247 277776 361366 383184 498494 542049 570341 722732 747741 996988 1084098 1140682 1445464 1495482 1626147 1711023 1993976 2168196 2243223 2281364 2890928 2990964 3252294 3422046 3987952 4336392 4486446 4562728 4878441 5133069 5981928 6504588 6729669 6844092 8672784 8972892 9125456 9756882 10266138 11963856 13009176 13459338 13688184 15399207 17945784 19513764 20532276 26018352 26918676 27376368 30798414 35891568 39027528 41064552 53837352 61596828 78055056 82129104 107674704 123193656 160265821 246387312 320531642 480797463 641063284 961594926 1282126568 1442392389 1923189852 2564253136 2884784778 3846379704 4327177167 5769569556 7692759408 8654354334 11539139112 17308708668 23078278224 34617417336 69234834672