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1038527342052 = 223415038235099
BaseRepresentation
bin11110001110011010000…
…11011010010111100100
310200021121202102012001120
433013031003122113210
5114003400444421202
62113032021053540
7135013450520304
oct17071503322744
93607552365046
101038527342052
11370489679252
121493348572b0
1376c18210065
143839d1cb604
151c033d050bc
hexf1cd0da5e4

1038527342052 has 96 divisors (see below), whose sum is σ = 2490779289600. Its totient is φ = 336585457920.

The previous prime is 1038527342009. The next prime is 1038527342071. The reversal of 1038527342052 is 2502437258301.

It is a super-3 number, since 3×10385273420523 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1038527341995 and 1038527342013.

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, 203670199 + ... + 203675297.

It is an arithmetic number, because the mean of its divisors is an integer number (25945617600).

Almost surely, 21038527342052 is an apocalyptic number.

1038527342052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1038527342052 is an abundant number, since it is smaller than the sum of its proper divisors (1452251947548).

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

1038527342052 is a wasteful number, since it uses less digits than its factorization.

1038527342052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 1038527342052 in words is "one trillion, thirty-eight billion, five hundred twenty-seven million, three hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 503 823 1006 1509 1646 2012 2469 3018 3292 4938 5099 6036 9876 10198 15297 20396 20623 30594 33743 41246 61188 61869 67486 82492 101229 123738 134972 202458 209059 247476 404916 413969 418118 627177 827938 836236 1241907 1254354 1655876 2483814 2508708 2564797 4196477 4967628 5129594 7694391 8392954 10259188 12589431 15388782 16785908 16972729 25178862 30777564 33945458 50357724 50918187 67890916 101836374 105156677 172055557 203672748 210313354 315470031 344111114 420626708 516166671 630940062 688222228 1032333342 1261880124 2064666684 2110827931 4221655862 6332483793 8443311724 12664967586 25329935172 86543945171 173087890342 259631835513 346175780684 519263671026 1038527342052