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842709114187052 = 2274723918439145307
BaseRepresentation
bin1011111110011100001000000…
…1011001100110110100101100
311002111210012112002202011111112
42333213002001121212310230
51340423421231212441202
612144143120025211152
7342334503304405160
oct27747020131466454
94074705462664445
10842709114187052
11224570a23639432
127a622809330ab8
132a22b189384938
1410c154a577cca0
156765be8243b52
hex2fe7081666d2c

842709114187052 has 96 divisors (see below), whose sum is σ = 1728585827942400. Its totient is φ = 351976276830528.

The previous prime is 842709114186983. The next prime is 842709114187081. The reversal of 842709114187052 is 250781411907248.

842709114187052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8427091141870522 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 842709114186982 and 842709114187000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5799435383 + ... + 5799580689.

It is an arithmetic number, because the mean of its divisors is an integer number (18006102374400).

Almost surely, 2842709114187052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842709114187052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864292913971200).

842709114187052 is an abundant number, since it is smaller than the sum of its proper divisors (885876713755348).

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

842709114187052 is a wasteful number, since it uses less digits than its factorization.

842709114187052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164043 (or 164041 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 59.

The spelling of 842709114187052 in words is "eight hundred forty-two trillion, seven hundred nine billion, one hundred fourteen million, one hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 4 7 14 28 47 94 188 239 329 478 658 956 1316 1673 3346 6692 11233 18439 22466 36878 44932 73756 78631 129073 145307 157262 258146 290614 314524 516292 581228 866633 1017149 1733266 2034298 3466532 4068596 4406921 6066431 6829429 8813842 12132862 13658858 17627684 24265724 27317716 30848447 34728373 47806003 61696894 69456746 95612006 123393788 138913492 191224012 207125287 243098611 414250574 486197222 828501148 972394444 1449877009 1632233531 2679315773 2899754018 3264467062 5358631546 5799508036 6528934124 10717263092 11425634717 18755210411 22851269434 37510420822 45702538868 75020841644 125927841331 251855682662 503711365324 640356469747 881494889317 1280712939494 1762989778634 2561425878988 3525979557268 4482495288229 8964990576458 17929981152916 30096754078109 60193508156218 120387016312436 210677278546763 421354557093526 842709114187052