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768427656208 = 242314919737103
BaseRepresentation
bin10110010111010011101…
…10111000010000010000
32201110110001012111102021
423023221312320100100
5100042214434444313
61345002155301224
7106342232210332
oct13135166702020
92643401174367
10768427656208
11276985419593
12104b14a4a814
1357601c12a44
1429299185452
1514ec662d78d
hexb2e9db8410

768427656208 has 80 divisors (see below), whose sum is σ = 1564999833600. Its totient is φ = 364805990912.

The previous prime is 768427656121. The next prime is 768427656211. The reversal of 768427656208 is 802656724867.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108179985 + ... + 108187087.

It is an arithmetic number, because the mean of its divisors is an integer number (19562497920).

Almost surely, 2768427656208 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 768427656208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782499916800).

768427656208 is an abundant number, since it is smaller than the sum of its proper divisors (796572177392).

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

768427656208 is a wasteful number, since it uses less digits than its factorization.

768427656208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256 (or 9250 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 61.

The spelling of 768427656208 in words is "seven hundred sixty-eight billion, four hundred twenty-seven million, six hundred fifty-six thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 46 92 149 184 298 368 596 1192 1973 2384 3427 3946 6854 7103 7892 13708 14206 15784 27416 28412 31568 45379 54832 56824 90758 113648 163369 181516 293977 326738 363032 587954 653476 726064 1058347 1175908 1306952 2116694 2351816 2613904 4233388 4703632 6761471 8466776 13522942 14014219 16933552 24341981 27045884 28028438 48683962 54091768 56056876 97367924 108183536 112113752 194735848 224227504 322327037 389471696 644654074 1289308148 2088118631 2578616296 4176237262 5157232592 8352474524 16704949048 33409898096 48026728513 96053457026 192106914052 384213828104 768427656208