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776055150064 = 242913914898081
BaseRepresentation
bin10110100101100000111…
…11011101010111110000
32202012010121200022221201
423102300133131113300
5100203330104300224
61352303111100544
7110032240635625
oct13226037352760
92665117608851
10776055150064
1127a13999a617
121064a3371754
135824921c90c
14297c01a434c
15152c1096a44
hexb4b07dd5f0

776055150064 has 80 divisors (see below), whose sum is σ = 1567891836000. Its totient is φ = 371656212480.

The previous prime is 776055150061. The next prime is 776055150077. The reversal of 776055150064 is 460051550677.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 776055149996 and 776055150023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776055150061) 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, 96030504 + ... + 96038584.

It is an arithmetic number, because the mean of its divisors is an integer number (19598647950).

Almost surely, 2776055150064 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 776055150064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783945918000).

776055150064 is an abundant number, since it is smaller than the sum of its proper divisors (791836685936).

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

776055150064 is a wasteful number, since it uses less digits than its factorization.

776055150064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9746 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 776055150064 in words is "seven hundred seventy-six billion, fifty-five million, one hundred fifty thousand, sixty-four".

Divisors: 1 2 4 8 16 29 58 116 139 232 278 464 556 1112 1489 2224 2978 4031 5956 8062 8081 11912 16124 16162 23824 32248 32324 43181 64496 64648 86362 129296 172724 206971 234349 345448 413942 468698 690896 827884 937396 1123259 1655768 1874792 2246518 3311536 3749584 4493036 6002159 8986072 12004318 12032609 17972144 24008636 24065218 32574511 48017272 48130436 65149022 96034544 96260872 130298044 192521744 260596088 348945661 521192176 697891322 1395782644 1672532651 2791565288 3345065302 5583130576 6690130604 13380261208 26760522416 48503446879 97006893758 194013787516 388027575032 776055150064