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85651492320 = 25325193130537
BaseRepresentation
bin100111111000100111…
…0100000110111100000
322012002012101122000100
41033301032200313200
52400403240223240
6103203040422400
76121344446412
oct1176116406740
9265065348010
1085651492320
1133363041999
1214724617a00
1380ccc4aa04
1442075889b2
152364714e30
hex13f13a0de0

85651492320 has 144 divisors (see below), whose sum is σ = 307669274640. Its totient is φ = 21638264832.

The previous prime is 85651492271. The next prime is 85651492327. The reversal of 85651492320 is 2329415658.

85651492320 is a `hidden beast` number, since 8 + 565 + 1 + 49 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (85651492327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1537909 + ... + 1592628.

It is an arithmetic number, because the mean of its divisors is an integer number (2136592185).

Almost surely, 285651492320 is an apocalyptic number.

85651492320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85651492320 is an abundant number, since it is smaller than the sum of its proper divisors (222017782320).

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

85651492320 is a wasteful number, since it uses less digits than its factorization.

85651492320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130577 (or 3130566 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 85651492320 in words is "eighty-five billion, six hundred fifty-one million, four hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 3130537 6261074 9391611 12522148 15652685 18783222 25044296 28174833 31305370 37566444 46958055 50088592 56349666 59480203 62610740 75132888 93916110 100177184 112699332 118960406 125221480 140874165 150265776 178440609 187832220 225398664 237920812 250442960 281748330 297401015 300531552 356881218 375664440 450797328 475841624 500885920 535321827 563496660 594802030 713762436 751328880 892203045 901594656 951683248 1070643654 1126993320 1189604060 1427524872 1502657760 1784406090 1903366496 2141287308 2253986640 2379208120 2676609135 2855049744 3568812180 4282574616 4507973280 4758416240 5353218270 5710099488 7137624360 8565149232 9516832480 10706436540 14275248720 17130298464 21412873080 28550497440 42825746160 85651492320