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648671451468 = 2231747307220373
BaseRepresentation
bin10010111000001111101…
…01001101100101001100
32022000100000202222010220
421130013311031211030
541111434342421333
61213555012231340
764602453235305
oct11340765154514
92260300688126
10648671451468
1123011113a457
12a587290b550
13492283a7b31
14235783817ac
1511d17c838b3
hex9707d4d94c

648671451468 has 96 divisors (see below), whose sum is σ = 1642036644864. Its totient is φ = 198525201408.

The previous prime is 648671451443. The next prime is 648671451473. The reversal of 648671451468 is 864154176846.

648671451468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833330 + ... + 3053702.

It is an arithmetic number, because the mean of its divisors is an integer number (17104548384).

Almost surely, 2648671451468 is an apocalyptic number.

648671451468 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648671451468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821018322432).

648671451468 is an abundant number, since it is smaller than the sum of its proper divisors (993365193396).

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

648671451468 is a wasteful number, since it uses less digits than its factorization.

648671451468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220751 (or 220749 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The spelling of 648671451468 in words is "six hundred forty-eight billion, six hundred seventy-one million, four hundred fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 307 564 614 799 921 1228 1598 1842 2397 3196 3684 4794 5219 9588 10438 14429 15657 20876 28858 31314 43287 57716 62628 86574 173148 220373 245293 440746 490586 661119 735879 881492 981172 1322238 1471758 2644476 2943516 3746341 7492682 10357531 11239023 14985364 20715062 22478046 31072593 41430124 44956092 62145186 67654511 124290372 135309022 176078027 202963533 270618044 352156054 405927066 528234081 704312108 811854132 1056468162 1150126687 2112936324 2300253374 3179762017 3450380061 4600506748 6359524034 6900760122 9539286051 12719048068 13801520244 19078572102 38157144204 54055954289 108111908578 162167862867 216223817156 324335725734 648671451468