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607686976768 = 284773368903
BaseRepresentation
bin10001101011111001111…
…01110110010100000000
32011002112202020221020111
420311330331312110000
534424020331224033
61143100104521104
761622023035004
oct10657475662400
92132482227214
10607686976768
1121479a501a63
1299935180194
13453c6392b81
14215ab148704
1510c19b357cd
hex8d7cf76500

607686976768 has 72 divisors (see below), whose sum is σ = 1240516747008. Its totient is φ = 296968722432.

The previous prime is 607686976763. The next prime is 607686976777. The reversal of 607686976768 is 867679686706.

It is a happy number.

607686976768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 607686976694 and 607686976703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607686976763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8785005 + ... + 8853907.

It is an arithmetic number, because the mean of its divisors is an integer number (17229399264).

Almost surely, 2607686976768 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 607686976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620258373504).

607686976768 is an abundant number, since it is smaller than the sum of its proper divisors (632829770240).

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

607686976768 is an equidigital number, since it uses as much as digits as its factorization.

607686976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69699 (or 69685 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 76.

The spelling of 607686976768 in words is "six hundred seven billion, six hundred eighty-six million, nine hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 733 752 1466 1504 2932 3008 5864 6016 11728 12032 23456 34451 46912 68902 68903 93824 137804 137806 187648 275608 275612 551216 551224 1102432 1102448 2204864 2204896 3238441 4409728 4409792 6476882 8819456 8819584 12953764 17639168 25907528 50505899 51815056 101011798 103630112 202023596 207260224 404047192 414520448 808094384 829040896 1616188768 2373777253 3232377536 4747554506 6464755072 9495109012 12929510144 18990218024 37980436048 75960872096 151921744192 303843488384 607686976768