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85627114740 = 223351091454759
BaseRepresentation
bin100111110111111000…
…1100001010011110100
322012000111112010021000
41033233301201103310
52400331020132430
6103200410123300
76120630315636
oct1175761412364
9265014463230
1085627114740
1133350301732
1214718420530
1380c7b93bcb
144204240a56
1523624ebe60
hex13efc614f4

85627114740 has 96 divisors (see below), whose sum is σ = 268839648000. Its totient is φ = 22624396416.

The previous prime is 85627114697. The next prime is 85627114747. The reversal of 85627114740 is 4741172658.

85627114740 is a `hidden beast` number, since 8 + 5 + 627 + 1 + 14 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85627114747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668520 + ... + 786239.

It is an arithmetic number, because the mean of its divisors is an integer number (2800413000).

Almost surely, 285627114740 is an apocalyptic number.

It is an amenable number.

85627114740 is an abundant number, since it is smaller than the sum of its proper divisors (183212533260).

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

85627114740 is a wasteful number, since it uses less digits than its factorization.

85627114740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454886 (or 1454878 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 85627114740 in words is "eighty-five billion, six hundred twenty-seven million, one hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 654 981 1090 1308 1635 1962 2180 2943 3270 3924 4905 5886 6540 9810 11772 14715 19620 29430 58860 1454759 2909518 4364277 5819036 7273795 8728554 13092831 14547590 17457108 21821385 26185662 29095180 39278493 43642770 52371324 65464155 78556986 87285540 130928310 157113972 158568731 196392465 261856620 317137462 392784930 475706193 634274924 785569860 792843655 951412386 1427118579 1585687310 1902824772 2378530965 2854237158 3171374620 4281355737 4757061930 5708474316 7135592895 8562711474 9514123860 14271185790 17125422948 21406778685 28542371580 42813557370 85627114740