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78341770816 = 265925932
BaseRepresentation
bin100100011110110001…
…0001000111001000000
321111012202212022012021
41020331202020321000
52240420443131231
655553440011224
75442245031121
oct1107542107100
9244182768167
1078341770816
1130251983a41
1213224600b14
13750672210a
143b12848048
152087b1b811
hex123d888e40

78341770816 has 63 divisors (see below), whose sum is σ = 158406142801. Its totient is φ = 38442036224.

The previous prime is 78341770813. The next prime is 78341770861. The reversal of 78341770816 is 61807714387.

It is a happy number.

The square root of 78341770816 is 279896.

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., 48171470400 + 30170300416 = 219480^2 + 173696^2 .

It is a super-2 number, since 2×783417708162 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78341770813) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 132110616 + ... + 132111208.

Almost surely, 278341770816 is an apocalyptic number.

78341770816 is the 279896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78341770816

78341770816 is an abundant number, since it is smaller than the sum of its proper divisors (80064371985).

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

78341770816 is an frugal number, since it uses more digits than its factorization.

78341770816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 78341770816 in words is "seventy-eight billion, three hundred forty-one million, seven hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 593 944 1186 1888 2372 3481 3776 4744 6962 9488 13924 18976 27848 34987 37952 55696 69974 111392 139948 222784 279896 351649 559792 703298 1119584 1406596 2064233 2239168 2813192 4128466 5626384 8256932 11252768 16513864 20747291 22505536 33027728 41494582 66055456 82989164 132110912 165978328 331956656 663913312 1224090169 1327826624 2448180338 4896360676 9792721352 19585442704 39170885408 78341770816