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76667607016 = 237111373131149
BaseRepresentation
bin100011101100110111…
…1101101011111101000
321022220002121222012121
41013121233231133220
52224003401411031
655115352521024
75352615623110
oct1073157553750
9238802558177
1076667607016
112a5729579a0
1212a379b0174
1372ca920550
1439d436a040
151edab6d011
hex11d9bed7e8

76667607016 has 128 divisors (see below), whose sum is σ = 195654816000. Its totient is φ = 27194849280.

The previous prime is 76667607011. The next prime is 76667607017. The reversal of 76667607016 is 61070676667.

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

It is not an unprimeable number, because it can be changed into a prime (76667607011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519010 + ... + 650158.

It is an arithmetic number, because the mean of its divisors is an integer number (1528553250).

Almost surely, 276667607016 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 76667607016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97827408000).

76667607016 is an abundant number, since it is smaller than the sum of its proper divisors (118987208984).

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

76667607016 is a wasteful number, since it uses less digits than its factorization.

76667607016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131259 (or 131255 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 52.

The spelling of 76667607016 in words is "seventy-six billion, six hundred sixty-seven million, six hundred seven thousand, sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 73 77 88 91 104 143 146 154 182 286 292 308 364 511 572 584 616 728 803 949 1001 1022 1144 1606 1898 2002 2044 3212 3796 4004 4088 5621 6424 6643 7592 8008 10439 11242 13286 20878 22484 26572 41756 44968 53144 73073 83512 131149 146146 262298 292292 524596 584584 918043 1049192 1442639 1704937 1836086 2885278 3409874 3672172 5770556 6819748 7344344 9573877 10098473 11541112 11934559 13639496 18754307 19147754 20196946 23869118 37508614 38295508 40393892 47738236 67017139 75017228 76591016 80787784 95476472 105312647 124460401 131280149 134034278 150034456 210625294 248920802 262560298 268068556 421250588 497841604 525120596 536137112 737188529 842501176 871222807 995683208 1050241192 1369064411 1474377058 1742445614 2738128822 2948754116 3484891228 5476257644 5897508232 6969782456 9583450877 10952515288 19166901754 38333803508 76667607016