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85894746240 = 273549989653
BaseRepresentation
bin100111111111110111…
…0011101000010000000
322012201011010012122210
41033333232131002000
52401403023334430
6103243130302120
76130360203462
oct1177756350200
9265634105583
1085894746240
1133478388196
1214791b87940
13813b46a944
14422b9ca132
15237ac652b0
hex13ffb9d080

85894746240 has 128 divisors (see below), whose sum is σ = 274341240000. Its totient is φ = 22859108352.

The previous prime is 85894746239. The next prime is 85894746241. The reversal of 85894746240 is 4264749858.

It is an interprime number because it is at equal distance from previous prime (85894746239) and next prime (85894746241).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (85894746241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913254 + ... + 1002906.

Almost surely, 285894746240 is an apocalyptic number.

85894746240 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 85894746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137170620000).

85894746240 is an abundant number, since it is smaller than the sum of its proper divisors (188446493760).

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

85894746240 is a wasteful number, since it uses less digits than its factorization.

85894746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90174 (or 90162 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 85894746240 in words is "eighty-five billion, eight hundred ninety-four million, seven hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 499 640 960 998 1497 1920 1996 2495 2994 3992 4990 5988 7485 7984 9980 11976 14970 15968 19960 23952 29940 31936 39920 47904 59880 63872 79840 89653 95808 119760 159680 179306 191616 239520 268959 319360 358612 448265 479040 537918 717224 896530 958080 1075836 1344795 1434448 1793060 2151672 2689590 2868896 3586120 4303344 5379180 5737792 7172240 8606688 10758360 11475584 14344480 17213376 21516720 28688960 34426752 43033440 44736847 57377920 86066880 89473694 134210541 172133760 178947388 223684235 268421082 357894776 447368470 536842164 671052705 715789552 894736940 1073684328 1342105410 1431579104 1789473880 2147368656 2684210820 2863158208 3578947760 4294737312 5368421640 5726316416 7157895520 8589474624 10736843280 14315791040 17178949248 21473686560 28631582080 42947373120 85894746240