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12919010400352 = 2571719178557751
BaseRepresentation
bin1011101111111111000100…
…0001101001100001100000
31200202001020001021120202201
42323333301001221201200
53143131113130302402
643250524512222544
72502240056353540
oct273776101514140
950661201246681
1012919010400352
114130a15633871
12154795a53aa54
137293468182a4
143293d7a89320
151760be38d687
hexbbff1069860

12919010400352 has 96 divisors (see below), whose sum is σ = 32397518522880. Its totient is φ = 4936764672000.

The previous prime is 12919010400341. The next prime is 12919010400383. The reversal of 12919010400352 is 25300401091921.

12919010400352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89206524 + ... + 89351227.

It is an arithmetic number, because the mean of its divisors is an integer number (337474151280).

Almost surely, 212919010400352 is an apocalyptic number.

It is an amenable number.

12919010400352 is an abundant number, since it is smaller than the sum of its proper divisors (19478508122528).

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

12919010400352 is a wasteful number, since it uses less digits than its factorization.

12919010400352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178557804 (or 178557796 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 12919010400352 in words is "twelve trillion, nine hundred nineteen billion, ten million, four hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 323 476 532 544 608 646 952 1064 1292 1904 2128 2261 2584 3808 4256 4522 5168 9044 10336 18088 36176 72352 178557751 357115502 714231004 1249904257 1428462008 2499808514 2856924016 3035481767 3392597269 4999617028 5713848032 6070963534 6785194538 9999234056 12141927068 13570389076 19998468112 21248372369 23748180883 24283854136 27140778152 39996936224 42496744738 47496361766 48567708272 54281556304 57674153573 84993489476 94992723532 97135416544 108563112608 115348307146 169986978952 189985447064 230696614292 339973957904 379970894128 403719075011 461393228584 679947915808 759941788256 807438150022 922786457168 1614876300044 1845572914336 3229752600088 6459505200176 12919010400352