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85677874821 = 3971156531
BaseRepresentation
bin100111111001011001…
…1001001111010000101
322012011001001000000000
41033302303021322011
52400432013443241
6103205422111513
76122114630340
oct1176263117205
9265131030000
1085677874821
1133376a21510
121473141b599
138105557266
14420ac95457
152366bc6eb6
hex13f2cc9e85

85677874821 has 80 divisors (see below), whose sum is σ = 160228873728. Its totient is φ = 44507199600.

The previous prime is 85677874811. The next prime is 85677874823. The reversal of 85677874821 is 12847877658.

85677874821 is a `hidden beast` number, since 8 + 5 + 6 + 77 + 87 + 482 + 1 = 666.

It is not a de Polignac number, because 85677874821 - 218 = 85677612677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85677874823) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1487326 + ... + 1543856.

Almost surely, 285677874821 is an apocalyptic number.

85677874821 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85677874821 is a deficient number, since it is larger than the sum of its proper divisors (74550998907).

85677874821 is an frugal number, since it uses more digits than its factorization.

85677874821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56576 (or 56552 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 63.

The spelling of 85677874821 in words is "eighty-five billion, six hundred seventy-seven million, eight hundred seventy-four thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 729 891 1701 2079 2187 2673 5103 6237 6561 8019 15309 18711 19683 24057 45927 56133 56531 72171 137781 168399 169593 216513 395717 505197 508779 621841 1187151 1515591 1526337 1865523 3561453 4352887 4579011 5596569 10684359 13058661 13737033 16789707 32053077 39175983 41211099 50369121 96159231 117527949 123633297 151107363 288477693 352583847 370899891 453322089 865433079 1057751541 1112699673 1359966267 2596299237 3173254623 4079898801 7788897711 9519763869 12239696403 28559291607 85677874821