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42252251096556 = 223214271637502429
BaseRepresentation
bin10011001101101100111100…
…11010101110010111101100
312112121021110000201021100100
421212312132122232113230
521014230102240042211
6225510225521431100
711620424112353214
oct1146663632562754
9175537400637310
1042252251096556
1112510096259286
1248a492949b490
131a764a739c8c7
14a6103c719244
154d4128475156
hex266d9e6ae5ec

42252251096556 has 72 divisors (see below), whose sum is σ = 106944649222320. Its totient is φ = 14065588423296.

The previous prime is 42252251096551. The next prime is 42252251096659. The reversal of 42252251096556 is 65569015225224.

42252251096556 is a `hidden beast` number, since 4 + 2 + 2 + 52 + 25 + 10 + 9 + 6 + 556 = 666.

It is a super-2 number, since 2×422522510965562 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42252251096551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83844750 + ... + 84347178.

It is an arithmetic number, because the mean of its divisors is an integer number (1485342350310).

Almost surely, 242252251096556 is an apocalyptic number.

It is an amenable number.

42252251096556 is an abundant number, since it is smaller than the sum of its proper divisors (64692398125764).

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

42252251096556 is a wasteful number, since it uses less digits than its factorization.

42252251096556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505503 (or 505498 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 42252251096556 in words is "forty-two trillion, two hundred fifty-two billion, two hundred fifty-one million, ninety-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1427 1637 2854 3274 4281 4911 5708 6548 8562 9822 12843 14733 17124 19644 25686 29466 51372 58932 502429 1004858 1507287 2009716 2335999 3014574 4521861 4671998 6029148 7007997 9043722 9343996 14015994 18087444 21023991 28031988 42047982 84095964 716966183 822476273 1433932366 1644952546 2150898549 2467428819 2867864732 3289905092 4301797098 4934857638 6452695647 7402286457 8603594196 9869715276 12905391294 14804572914 25810782588 29609145828 1173673641571 2347347283142 3521020924713 4694694566284 7042041849426 10563062774139 14084083698852 21126125548278 42252251096556