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12877088219952 = 24311223229477577
BaseRepresentation
bin1011101101100010111001…
…0001001110001100110000
31200121001000102022011110120
42323120232101032030300
53141434234041014302
643215352550330240
72466224151613335
oct273305621161460
950531012264416
1012877088219952
114115162660190
12153b7ba959980
137253c5467498
1432737c0bc98c
15174e68c669bc
hexbb62e44e330

12877088219952 has 160 divisors (see below), whose sum is σ = 36611970017280. Its totient is φ = 3867677890560.

The previous prime is 12877088219929. The next prime is 12877088219969. The reversal of 12877088219952 is 25991288077821.

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, 26724588 + ... + 27202164.

It is an arithmetic number, because the mean of its divisors is an integer number (228824812608).

Almost surely, 212877088219952 is an apocalyptic number.

12877088219952 is a gapful number since it is divisible by the number (12) 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 12877088219952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18305985008640).

12877088219952 is an abundant number, since it is smaller than the sum of its proper divisors (23734881797328).

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

12877088219952 is a wasteful number, since it uses less digits than its factorization.

12877088219952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478051 (or 478045 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 69.

The spelling of 12877088219952 in words is "twelve trillion, eight hundred seventy-seven billion, eighty-eight million, two hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 223 229 264 446 458 528 669 687 892 916 1338 1374 1784 1832 2453 2519 2676 2748 3568 3664 4906 5038 5352 5496 7359 7557 9812 10076 10704 10992 14718 15114 19624 20152 29436 30228 39248 40304 51067 58872 60456 102134 117744 120912 153201 204268 306402 408536 477577 561737 612804 817072 955154 1123474 1225608 1432731 1685211 1910308 2246948 2451216 2865462 3370422 3820616 4493896 5253347 5730924 6740844 7641232 8987792 10506694 11461848 13481688 15760041 21013388 22923696 26963376 31520082 42026776 63040164 84053552 106499671 109365133 126080328 212999342 218730266 252160656 319499013 328095399 425998684 437460532 638998026 656190798 851997368 874921064 1171496381 1203016463 1277996052 1312381596 1703994736 1749842128 2342992762 2406032926 2555992104 2624763192 3514489143 3609049389 4685985524 4812065852 5111984208 5249526384 7028978286 7218098778 9371971048 9624131704 14057956572 14436197556 18743942096 19248263408 24388424659 28115913144 28872395112 48776849318 56231826288 57744790224 73165273977 97553698636 146330547954 195107397272 268272671249 292661095908 390214794544 536545342498 585322191816 804818013747 1073090684996 1170644383632 1609636027494 2146181369992 3219272054988 4292362739984 6438544109976 12877088219952