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76740891048 = 2336109120721
BaseRepresentation
bin100011101111000011…
…1010001000110101000
321100002012112012000000
41013132013101012220
52224131132003143
655130531343000
75354465545143
oct1073607210650
9240065465000
1076740891048
112a600261308
1212a58451a60
13730cb6ba93
1439ddda505a
151ee22e6bd3
hex11de1d11a8

76740891048 has 112 divisors (see below), whose sum is σ = 217716090900. Its totient is φ = 25345405440.

The previous prime is 76740891043. The next prime is 76740891049. The reversal of 76740891048 is 84019804767.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71940895524 + 4799995524 = 268218^2 + 69282^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 76740890985 and 76740891003.

It is not an unprimeable number, because it can be changed into a prime (76740891043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 575328 + ... + 696048.

Almost surely, 276740891048 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 76740891048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108858045450).

76740891048 is an abundant number, since it is smaller than the sum of its proper divisors (140975199852).

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

76740891048 is a wasteful number, since it uses less digits than its factorization.

76740891048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120854 (or 120835 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 76740891048 in words is "seventy-six billion, seven hundred forty million, eight hundred ninety-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 243 324 327 436 486 648 654 729 872 972 981 1308 1458 1944 1962 2616 2916 2943 3924 5832 5886 7848 8829 11772 17658 23544 26487 35316 52974 70632 79461 105948 120721 158922 211896 241442 317844 362163 482884 635688 724326 965768 1086489 1448652 2172978 2897304 3259467 4345956 6518934 8691912 9778401 13037868 13158589 19556802 26075736 26317178 29335203 39113604 39475767 52634356 58670406 78227208 78951534 88005609 105268712 117340812 118427301 157903068 176011218 234681624 236854602 315806136 352022436 355281903 473709204 704044872 710563806 947418408 1065845709 1421127612 2131691418 2842255224 3197537127 4263382836 6395074254 8526765672 9592611381 12790148508 19185222762 25580297016 38370445524 76740891048