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4729380825456 = 2432743109112699
BaseRepresentation
bin100010011010010010100…
…0100000110100101110000
3121202010100200101200020200
41010310211010012211300
51104441232442403311
614020351512235200
7665454315505650
oct104644504064560
917663320350220
104729380825456
1115637a01aa2a1
1264470409bb00
13283c9527a3a1
14124c90754360
158304e632556
hex44d25106970

4729380825456 has 120 divisors (see below), whose sum is σ = 15478291171200. Its totient is φ = 1319827195008.

The previous prime is 4729380825443. The next prime is 4729380825469. The reversal of 4729380825456 is 6545280839274.

4729380825456 is a `hidden beast` number, since 4 + 7 + 2 + 9 + 3 + 8 + 0 + 82 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4729380825443) and next prime (4729380825469).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4729380825393 and 4729380825402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54513006 + ... + 54599693.

It is an arithmetic number, because the mean of its divisors is an integer number (128985759760).

Almost surely, 24729380825456 is an apocalyptic number.

It is an amenable number.

4729380825456 is an abundant number, since it is smaller than the sum of its proper divisors (10748910345744).

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

4729380825456 is a wasteful number, since it uses less digits than its factorization.

4729380825456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109112763 (or 109112754 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 4729380825456 in words is "four trillion, seven hundred twenty-nine billion, three hundred eighty million, eight hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3096 3612 4816 5418 6192 7224 10836 14448 21672 43344 109112699 218225398 327338097 436450796 654676194 763788893 872901592 982014291 1309352388 1527577786 1745803184 1964028582 2291366679 2618704776 3055155572 3928057164 4582733358 4691846057 5237409552 6110311144 6874100037 7856114328 9165466716 9383692114 12220622288 13748200074 14075538171 15712228656 18330933432 18767384228 27496400148 28151076342 32842922399 36661866864 37534768456 42226614513 54992800296 56302152684 65685844798 75069536912 84453229026 98528767197 109985600592 112604305368 131371689596 168906458052 197057534394 225208610736 262743379192 295586301591 337812916104 394115068788 525486758384 591172603182 675625832208 788230137576 1182345206364 1576460275152 2364690412728 4729380825456