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4266062402004 = 223213101318728319
BaseRepresentation
bin111110000101000101001…
…000100101000111010100
3120002211110020001010022100
4332011011020211013110
51024343343433331004
613023445122402100
7620133001053204
oct76050510450724
916084406033270
104266062402004
1113a5255012217
1258a95b800330
1324c39884bbc0
1410a69b0c8404
1575e83ee4739
hex3e1452251d4

4266062402004 has 144 divisors (see below), whose sum is σ = 11732246023680. Its totient is φ = 1299184531200.

The previous prime is 4266062401987. The next prime is 4266062402027. The reversal of 4266062402004 is 4002042606624.

4266062402004 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 0 + 624 + 0 + 20 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4266062402004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150628957 + ... + 150657275.

It is an arithmetic number, because the mean of its divisors is an integer number (81473930720).

Almost surely, 24266062402004 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 4266062402004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866123011840).

4266062402004 is an abundant number, since it is smaller than the sum of its proper divisors (7466183621676).

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

4266062402004 is a wasteful number, since it uses less digits than its factorization.

4266062402004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31630 (or 31625 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4266062402004 in words is "four trillion, two hundred sixty-six billion, sixty-two million, four hundred two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1818 2626 3187 3636 3939 5252 6374 7878 9561 11817 12748 15756 19122 23634 28319 28683 38244 41431 47268 56638 57366 82862 84957 113276 114732 124293 165724 169914 248586 254871 321887 339828 368147 372879 497172 509742 643774 736294 745758 965661 1019484 1104441 1287548 1472588 1491516 1931322 2208882 2860219 2896983 3313323 3862644 4184531 4417764 5720438 5793966 6626646 8369062 8580657 11440876 11587932 12553593 13253292 16738124 17161314 25107186 25741971 34322628 37182847 37660779 50214372 51483942 74365694 75321558 90252653 102967884 111548541 148731388 150643116 180505306 223097082 270757959 334645623 361010612 446194164 541515918 669291246 812273877 1083031836 1173284489 1338582492 1624547754 2346568978 3249095508 3519853467 4693137956 7039706934 9115517953 10559560401 14079413868 18231035906 21119120802 27346553859 36462071812 42238241604 54693107718 82039661577 109386215436 118501733389 164079323154 237003466778 328158646308 355505200167 474006933556 711010400334 1066515600501 1422020800668 2133031201002 4266062402004