Search a number
-
+
67691669232 = 243111771106217
BaseRepresentation
bin111111000010101111…
…001110011011110000
320110201112211002100110
4333002233032123300
52102113031403412
651032551221320
74614314460225
oct770257163360
9213645732313
1067691669232
1126787200aa0
1211151977840
1364ca146665
1433c221994c
151b62b45d3c
hexfc2bce6f0

67691669232 has 160 divisors (see below), whose sum is σ = 204835889664. Its totient is φ = 19033907200.

The previous prime is 67691669197. The next prime is 67691669237. The reversal of 67691669232 is 23296619676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67691669237) 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, 584188 + ... + 690404.

Almost surely, 267691669232 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 67691669232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102417944832).

67691669232 is an abundant number, since it is smaller than the sum of its proper divisors (137144220432).

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

67691669232 is a wasteful number, since it uses less digits than its factorization.

67691669232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106327 (or 106321 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 57.

The spelling of 67691669232 in words is "sixty-seven billion, six hundred ninety-one million, six hundred sixty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 71 88 102 132 136 142 176 187 204 213 264 272 284 374 408 426 528 561 568 748 781 816 852 1122 1136 1207 1496 1562 1704 2244 2343 2414 2992 3124 3408 3621 4488 4686 4828 6248 7242 8976 9372 9656 12496 13277 14484 18744 19312 26554 28968 37488 39831 53108 57936 79662 106216 106217 159324 212432 212434 318648 318651 424868 637296 637302 849736 1168387 1274604 1699472 1805689 2336774 2549208 3505161 3611378 4673548 5098416 5417067 7010322 7222756 7541407 9347096 10834134 14020644 14445512 15082814 18694192 19862579 21668268 22624221 28041288 28891024 30165628 39725158 43336536 45248442 56082576 59587737 60331256 79450316 82955477 86673072 90496884 119175474 120662512 128203919 158900632 165910954 180993768 238350948 248866431 256407838 317801264 331821908 361987536 384611757 476701896 497732862 512815676 663643816 769223514 953403792 995465724 1025631352 1327287632 1410243109 1538447028 1990931448 2051262704 2820486218 3076894056 3981862896 4230729327 5640972436 6153788112 8461458654 11281944872 16922917308 22563889744 33845834616 67691669232