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85294113520 = 24571164721401
BaseRepresentation
bin100111101101111101…
…1001110001011110000
322011011021220220110111
41033123323032023300
52344140243113040
6103103352511104
76106445000620
oct1173373161360
9264137826414
1085294113520
113319a337a10
12146449ab494
138073bb0075
1441b1d1a880
15234316edea
hex13dbece2f0

85294113520 has 160 divisors (see below), whose sum is σ = 247635864576. Its totient is φ = 26542848000.

The previous prime is 85294113503. The next prime is 85294113521. The reversal of 85294113520 is 2531149258.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85294113521) 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, 3974820 + ... + 3996220.

Almost surely, 285294113520 is an apocalyptic number.

85294113520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85294113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123817932288).

85294113520 is an abundant number, since it is smaller than the sum of its proper divisors (162341751056).

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

85294113520 is a wasteful number, since it uses less digits than its factorization.

85294113520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22079 (or 22073 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 85294113520 in words is "eighty-five billion, two hundred ninety-four million, one hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 647 770 880 1232 1294 1540 2588 3080 3235 4529 5176 6160 6470 7117 9058 10352 12940 14234 18116 21401 22645 25880 28468 35585 36232 42802 45290 49819 51760 56936 71170 72464 85604 90580 99638 107005 113872 142340 149807 171208 181160 199276 214010 235411 249095 284680 299614 342416 362320 398552 428020 470822 498190 569360 599228 749035 797104 856040 941644 996380 1177055 1198456 1498070 1647877 1712080 1883288 1992760 2354110 2396912 2996140 3295754 3766576 3985520 4708220 5992280 6591508 8239385 9416440 11984560 13183016 13846447 16478770 18832880 26366032 27692894 32957540 55385788 65915080 69232235 96925129 110771576 131830160 138464470 152310917 193850258 221543152 276928940 304621834 387700516 484625645 553857880 609243668 761554585 775401032 969251290 1066176419 1107715760 1218487336 1523109170 1550802064 1938502580 2132352838 2436974672 3046218340 3877005160 4264705676 5330882095 6092436680 7754010320 8529411352 10661764190 12184873360 17058822704 21323528380 42647056760 85294113520