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42551620621344 = 2532831780104611
BaseRepresentation
bin10011010110011010100100…
…01110110101010000100000
312120122220011121021211200200
421223031102032311100200
521034131204334340334
6230255540013345200
711651152553341452
oct1153152216652040
9176586147254620
1042551620621344
111261604a58218a
124932957798200
131a987a66c2553
14a7171bc202d2
154dbcea5e6799
hex26b3523b5420

42551620621344 has 72 divisors (see below), whose sum is σ = 122464076887152. Its totient is φ = 14012983489920.

The previous prime is 42551620621337. The next prime is 42551620621351. The reversal of 42551620621344 is 44312602615524.

It is a happy number.

42551620621344 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 1 + 620 + 6 + 2 + 13 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42551620621337) and next prime (42551620621351).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42551620621344.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 890028402 + ... + 890076209.

It is an arithmetic number, because the mean of its divisors is an integer number (1700889956766).

Almost surely, 242551620621344 is an apocalyptic number.

It is an amenable number.

42551620621344 is an abundant number, since it is smaller than the sum of its proper divisors (79912456265808).

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

42551620621344 is a wasteful number, since it uses less digits than its factorization.

42551620621344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780104710 (or 1780104699 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 42551620621344 in words is "forty-two trillion, five hundred fifty-one billion, six hundred twenty million, six hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 1780104611 3560209222 5340313833 7120418444 10680627666 14240836888 16020941499 21361255332 28481673776 32041882998 42722510664 56963347552 64083765996 85445021328 128167531992 147748682713 170890042656 256335063984 295497365426 443246048139 512670127968 590994730852 886492096278 1181989461704 1329738144417 1772984192556 2363978923408 2659476288834 3545968385112 4727957846816 5318952577668 7091936770224 10637905155336 14183873540448 21275810310672 42551620621344