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2426045853078 = 233472235717507
BaseRepresentation
bin100011010011011011100…
…110011110110110010110
322120221001022021122111000
4203103123212132312112
5304222020214244303
65054302102124130
7340163451334551
oct43233346366626
98527038248430
102426045853078
118559757010a1
12332225a20646
13147a0ccabaa3
14855c7c81698
15431912d5da3
hex234db99ed96

2426045853078 has 128 divisors (see below), whose sum is σ = 5541033738240. Its totient is φ = 786442050720.

The previous prime is 2426045853029. The next prime is 2426045853079. The reversal of 2426045853078 is 8703585406242.

2426045853078 is a `hidden beast` number, since 2 + 4 + 2 + 60 + 45 + 8 + 530 + 7 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426045853079) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323167401 + ... + 323174907.

It is an arithmetic number, because the mean of its divisors is an integer number (43289326080).

Almost surely, 22426045853078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426045853078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770516869120).

2426045853078 is an abundant number, since it is smaller than the sum of its proper divisors (3114987885162).

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

2426045853078 is a wasteful number, since it uses less digits than its factorization.

2426045853078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8359 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 2426045853078 in words is "two trillion, four hundred twenty-six billion, forty-five million, eight hundred fifty-three thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 223 282 423 446 571 669 846 1142 1269 1338 1713 2007 2538 3426 4014 5139 6021 7507 10278 10481 12042 15014 15417 20962 22521 26837 30834 31443 45042 53674 62886 67563 80511 94329 127333 135126 161022 188658 202689 241533 254666 282987 352829 381999 405378 483066 565974 705658 724599 763998 1058487 1145997 1449198 1674061 2116974 2291994 3175461 3348122 3437991 4286497 5022183 5984651 6350922 6875982 8572994 9526383 10044366 11969302 12859491 15066549 17953953 19052766 25718982 30133098 35907906 38578473 45199647 53861859 77156946 78680867 90399294 107723718 115735419 157361734 161585577 201465359 231470838 236042601 323171154 402930718 472085202 604396077 708127803 955888831 1208792154 1416255606 1813188231 1911777662 2124383409 2867666493 3626376462 4248766818 5439564693 5735332986 8602999479 10879129386 17205998958 25808998437 44926775057 51617996874 89853550114 134780325171 269560650342 404340975513 808681951026 1213022926539 2426045853078