Search a number
-
+
10421851865472 = 27334261707717
BaseRepresentation
bin1001011110101000011011…
…0001110100000110000000
31100220022121202221101221000
42113222012301310012000
52331222423034143342
634055422130332000
72123645130134025
oct227520661640600
940808552841830
1010421851865472
113358978754373
1212039a912a000
135a7a12a20a78
142805c551154c
15131169e5844c
hex97a86c74180

10421851865472 has 128 divisors (see below), whose sum is σ = 30766199983200. Its totient is φ = 3473130424320.

The previous prime is 10421851865437. The next prime is 10421851865497. The reversal of 10421851865472 is 27456815812401.

10421851865472 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 8 + 518 + 6 + 54 + 72 = 666.

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

It is a super-2 number, since 2×104218518654722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14372158 + ... + 15079874.

Almost surely, 210421851865472 is an apocalyptic number.

10421851865472 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 10421851865472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383099991600).

10421851865472 is an abundant number, since it is smaller than the sum of its proper divisors (20344348117728).

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

10421851865472 is an equidigital number, since it uses as much as digits as its factorization.

10421851865472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712001 (or 711983 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 10421851865472 in words is "ten trillion, four hundred twenty-one billion, eight hundred fifty-one million, eight hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4261 8522 12783 17044 25566 34088 38349 51132 68176 76698 102264 115047 136352 153396 204528 230094 272704 306792 409056 460188 545408 613584 707717 818112 920376 1227168 1415434 1636224 1840752 2123151 2454336 2830868 3681504 4246302 4908672 5661736 6369453 7363008 8492604 11323472 12738906 14726016 16985208 19108359 22646944 25477812 33970416 38216718 45293888 50955624 67940832 76433436 90587776 101911248 135881664 152866872 203822496 271763328 305733744 407644992 611467488 815289984 1222934976 2445869952 3015582137 6031164274 9046746411 12062328548 18093492822 24124657096 27140239233 36186985644 48249314192 54280478466 72373971288 81420717699 96498628384 108560956932 144747942576 162841435398 192997256768 217121913864 289495885152 325682870796 385994513536 434243827728 578991770304 651365741592 868487655456 1157983540608 1302731483184 1736975310912 2605462966368 3473950621824 5210925932736 10421851865472