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8216960696128 = 261721393196087
BaseRepresentation
bin111011110010010100100…
…0001011111111101000000
31002002112102010012201111101
41313210221001133331000
52034111313414234003
625250453012424144
71505440642336012
oct167445101377500
932075363181441
108216960696128
112688880108478
12b08603618054
13477b18a249b2
142059bb12c1b2
15e3b1e3eb11d
hex7792905ff40

8216960696128 has 84 divisors (see below), whose sum is σ = 17445718504480. Its totient is φ = 3838985091072.

The previous prime is 8216960696117. The next prime is 8216960696137.

8216960696128 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8216960696128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972901 + ... + 4168987.

Almost surely, 28216960696128 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 8216960696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722859252240).

8216960696128 is an abundant number, since it is smaller than the sum of its proper divisors (9228757808352).

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

8216960696128 is a wasteful number, since it uses less digits than its factorization.

8216960696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196272 (or 3196245 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 64.

The spelling of 8216960696128 in words is "eight trillion, two hundred sixteen billion, nine hundred sixty million, six hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 139 272 278 289 544 556 578 1088 1112 1156 2224 2312 2363 4448 4624 4726 8896 9248 9452 18496 18904 37808 40171 75616 80342 151232 160684 321368 642736 1285472 2570944 3196087 6392174 12784348 25568696 51137392 54333479 102274784 108666958 204549568 217333916 434667832 444256093 869335664 888512186 923669143 1738671328 1777024372 1847338286 3477342656 3554048744 3694676572 7108097488 7389353144 7552353581 14216194976 14778706288 15104707162 28432389952 29557412576 30209414324 59114825152 60418828648 120837657296 128390010877 241675314592 256780021754 483350629184 513560043508 1027120087016 2054240174032 4108480348064 8216960696128