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76127324016 = 24319641130223
BaseRepresentation
bin100011011100110001…
…0101100011101110000
321021111102222202021010
41012321202230131300
52221402043332031
654550012430520
75333335402032
oct1067142543560
9237442882233
1076127324016
112a315987317
1212906a78440
137242a02b73
1439826c9c52
151ea84e9246
hex11b98ac770

76127324016 has 80 divisors (see below), whose sum is σ = 207337443840. Its totient is φ = 24002519040.

The previous prime is 76127324003. The next prime is 76127324017. The reversal of 76127324016 is 61042372167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76127324017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519481 + ... + 649703.

It is an arithmetic number, because the mean of its divisors is an integer number (2591718048).

Almost surely, 276127324016 is an apocalyptic number.

76127324016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76127324016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103668721920).

76127324016 is an abundant number, since it is smaller than the sum of its proper divisors (131210119824).

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

76127324016 is a wasteful number, since it uses less digits than its factorization.

76127324016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130894 (or 130888 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 76127324016 in words is "seventy-six billion, one hundred twenty-seven million, three hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 641 912 1282 1923 2564 3846 5128 7692 10256 12179 15384 24358 30768 36537 48716 73074 97432 130223 146148 194864 260446 292296 390669 520892 584592 781338 1041784 1562676 2083568 2474237 3125352 4948474 6250704 7422711 9896948 14845422 19793896 29690844 39587792 59381688 83472943 118763376 166945886 250418829 333891772 500837658 667783544 1001675316 1335567088 1585985917 2003350632 3171971834 4006701264 4757957751 6343943668 9515915502 12687887336 19031831004 25375774672 38063662008 76127324016