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85796489835 = 32575322722639
BaseRepresentation
bin100111111100111011…
…1101000101001101011
322012110022020021012200
41033321313220221223
52401202400133320
6103225300311243
76125055062610
oct1177167505153
9265408207180
1085796489835
1133427977751
12147650a2523
138123cb7964
14421c930507
152372307290
hex13f9de8a6b

85796489835 has 96 divisors (see below), whose sum is σ = 173936056320. Its totient is φ = 38310015744.

The previous prime is 85796489803. The next prime is 85796489893. The reversal of 85796489835 is 53898469758.

85796489835 is a `hidden beast` number, since 8 + 57 + 96 + 489 + 8 + 3 + 5 = 666.

It is not a de Polignac number, because 85796489835 - 25 = 85796489803 is a prime.

It is a super-3 number, since 3×857964898353 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3778446 + ... + 3801084.

It is an arithmetic number, because the mean of its divisors is an integer number (1811833920).

Almost surely, 285796489835 is an apocalyptic number.

85796489835 is an abundant number, since it is smaller than the sum of its proper divisors (88139566485).

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

85796489835 is a wasteful number, since it uses less digits than its factorization.

85796489835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22937 (or 22934 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 85796489835 in words is "eighty-five billion, seven hundred ninety-six million, four hundred eighty-nine thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 227 265 315 371 477 681 795 1113 1135 1589 1855 2043 2385 3339 3405 4767 5565 7945 10215 12031 14301 16695 22639 23835 36093 60155 67917 71505 84217 108279 113195 158473 180465 203751 252651 339585 421085 475419 541395 757953 792365 1018755 1199867 1263255 1426257 2377095 3599601 3789765 5139053 5999335 7131285 8399069 10798803 15417159 17998005 25197207 25695265 35973371 41995345 46251477 53994015 75591621 77085795 107920113 125986035 179866855 231257385 272369809 323760339 377958105 539600565 817109427 1361849045 1618801695 1906588663 2451328281 4085547135 5719765989 9532943315 12256641405 17159297967 28598829945 85796489835