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11439691648 = 277114312693
BaseRepresentation
bin10101010011101101…
…11101011110000000
31002112020210112210021
422221312331132000
5141412030113043
65131052143224
7553325526460
oct125166753600
932466715707
1011439691648
114940453720
122273167b14
131104055318
147a7447ba0
1546e4933ed
hex2a9dbd780

11439691648 has 128 divisors (see below), whose sum is σ = 28490019840. Its totient is φ = 4445030400.

The previous prime is 11439691643. The next prime is 11439691691. The reversal of 11439691648 is 84619693411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11439691595 and 11439691604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11439691643) 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, 4246590 + ... + 4249282.

It is an arithmetic number, because the mean of its divisors is an integer number (222578280).

Almost surely, 211439691648 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 11439691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245009920).

11439691648 is an abundant number, since it is smaller than the sum of its proper divisors (17050328192).

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

11439691648 is a wasteful number, since it uses less digits than its factorization.

11439691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3144 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 52.

The spelling of 11439691648 in words is "eleven billion, four hundred thirty-nine million, six hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 431 448 616 704 862 896 1232 1408 1724 2464 2693 3017 3448 4741 4928 5386 6034 6896 9482 9856 10772 12068 13792 18851 18964 21544 24136 27584 29623 33187 37702 37928 43088 48272 55168 59246 66374 75404 75856 86176 96544 118492 132748 150808 151712 172352 193088 207361 236984 265496 301616 303424 344704 386176 414722 473968 530992 603232 606848 829444 947936 1061984 1160683 1206464 1658888 1895872 2123968 2321366 2412928 3317776 3791744 4247936 4642732 6635552 8124781 9285464 12767513 13271104 16249562 18570928 25535026 26542208 32499124 37141856 51070052 64998248 74283712 89372591 102140104 129996496 148567424 178745182 204280208 259992992 357490364 408560416 519985984 714980728 817120832 1039971968 1429961456 1634241664 2859922912 5719845824 11439691648