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85371738240 = 2735311434337
BaseRepresentation
bin100111110000010001…
…1010101100010000000
322011100200222122120010
41033200203111202000
52344320131110430
6103115204344520
76111406542015
oct1174043254200
9264320878503
1085371738240
113322a136578
12146669a5140
138086cbb259
1441bc36570c
152349da4cb0
hex13e08d5880

85371738240 has 128 divisors (see below), whose sum is σ = 280900753920. Its totient is φ = 22031400960.

The previous prime is 85371738229. The next prime is 85371738253. The reversal of 85371738240 is 4283717358.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85371738240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657649 + ... + 776688.

It is an arithmetic number, because the mean of its divisors is an integer number (2194537140).

Almost surely, 285371738240 is an apocalyptic number.

85371738240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85371738240 is an abundant number, since it is smaller than the sum of its proper divisors (195529015680).

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

85371738240 is a wasteful number, since it uses less digits than its factorization.

85371738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434390 (or 1434378 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 85371738240 in words is "eighty-five billion, three hundred seventy-one million, seven hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4960 5952 7440 9920 11904 14880 19840 29760 59520 1434337 2868674 4303011 5737348 7171685 8606022 11474696 14343370 17212044 21515055 22949392 28686740 34424088 43030110 44464447 45898784 57373480 68848176 86060220 88928894 91797568 114746960 133393341 137696352 172120440 177857788 183595136 222322235 229493920 266786682 275392704 344240880 355715576 444644470 458987840 533573364 550785408 666966705 688481760 711431152 889288940 917975680 1067146728 1333933410 1376963520 1422862304 1778577880 2134293456 2667866820 2753927040 2845724608 3557155760 4268586912 5335733640 5691449216 7114311520 8537173824 10671467280 14228623040 17074347648 21342934560 28457246080 42685869120 85371738240