Search a number
-
+
76734859212 = 2232112941162973
BaseRepresentation
bin100011101110111000…
…0010000011111001100
321100001210011201212200
41013131300100133030
52224123110443322
655130154201500
75354363353464
oct1073560203714
9240053151780
1076734859212
112a5a7911520
1212a56423290
13730b83944b
1439dd274ba4
151ee1a048ac
hex11ddc107cc

76734859212 has 144 divisors (see below), whose sum is σ = 224239186080. Its totient is φ = 21903436800.

The previous prime is 76734859211. The next prime is 76734859217. The reversal of 76734859212 is 21295843767.

It is a happy number.

76734859212 is a `hidden beast` number, since 7 + 6 + 7 + 3 + 48 + 592 + 1 + 2 = 666.

It is a super-2 number, since 2×767348592122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76734859211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389358 + ... + 552330.

It is an arithmetic number, because the mean of its divisors is an integer number (1557216570).

Almost surely, 276734859212 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 76734859212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112119593040).

76734859212 is an abundant number, since it is smaller than the sum of its proper divisors (147504326868).

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

76734859212 is a wasteful number, since it uses less digits than its factorization.

76734859212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163064 (or 163059 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 76734859212 in words is "seventy-six billion, seven hundred thirty-four million, eight hundred fifty-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 41 44 58 66 82 87 99 116 123 132 164 174 198 246 261 319 348 369 396 451 492 522 638 738 902 957 1044 1189 1276 1353 1476 1804 1914 2378 2706 2871 3567 3828 4059 4756 5412 5742 7134 8118 10701 11484 13079 14268 16236 21402 26158 39237 42804 52316 78474 117711 156948 162973 235422 325946 470844 488919 651892 977838 1466757 1792703 1955676 2933514 3585406 4726217 5378109 5867028 6681893 7170812 9452434 10756218 13363786 14178651 16134327 18904868 20045679 21512436 26727572 28357302 32268654 40091358 42535953 51988387 56714604 60137037 64537308 73500823 80182716 85071906 103976774 120274074 147001646 155965161 170143812 193774897 207953548 220502469 240548148 294003292 311930322 387549794 441004938 467895483 581324691 623860644 661507407 775099588 882009876 935790966 1162649382 1323014814 1743974073 1871581932 2131523867 2325298764 2646029628 3487948146 4263047734 6394571601 6975896292 8526095468 12789143202 19183714803 25578286404 38367429606 76734859212