Search a number
-
+
80640096784 = 241324321272
BaseRepresentation
bin100101100011010000…
…1100011101000010000
321201010221120100201021
41023012201203220100
52310122331044114
6101013501045224
75553223340662
oct1130641435020
9251127510637
1080640096784
1131221261295
1213766256814
1377b192c300
143c8db9c532
15216e7ac024
hex12c6863a10

80640096784 has 135 divisors (see below), whose sum is σ = 174583744173. Its totient is φ = 36066715776.

The previous prime is 80640096763. The next prime is 80640096787. The reversal of 80640096784 is 48769004608.

It is a happy number.

The square root of 80640096784 is 283972.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11929008400 + 68711088384 = 109220^2 + 262128^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80640096787) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 634961329 + ... + 634961455.

Almost surely, 280640096784 is an apocalyptic number.

80640096784 is the 283972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80640096784

80640096784 is an abundant number, since it is smaller than the sum of its proper divisors (93943647389).

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

80640096784 is a wasteful number, since it uses less digits than its factorization.

80640096784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 80640096784 in words is "eighty billion, six hundred forty million, ninety-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 127 169 172 208 254 338 344 508 559 676 688 1016 1118 1352 1651 1849 2032 2236 2704 3302 3698 4472 5461 6604 7267 7396 8944 10922 13208 14534 14792 16129 21463 21844 24037 26416 29068 29584 32258 42926 43688 48074 58136 64516 70993 85852 87376 96148 116272 129032 141986 171704 192296 209677 234823 258064 283972 312481 343408 384592 419354 469646 567944 624962 693547 838708 922909 939292 1135888 1249924 1387094 1677416 1845818 1878584 2499848 2725801 2774188 3052699 3354832 3691636 3757168 4999696 5451602 5548376 6105398 7383272 9016111 10903204 11096752 12210796 14766544 18032222 21806408 24421592 29822521 36064444 39685087 43612816 48843184 59645042 72128888 79370174 117209443 119290084 144257776 158740348 234418886 238580168 317480696 387692773 468837772 477160336 634961392 775385546 937675544 1550771092 1875351088 3101542184 5040006049 6203084368 10080012098 20160024196 40320048392 80640096784