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86740912368 = 24331123793633
BaseRepresentation
bin101000011001000101…
…0010100100011110000
322021220010022220101000
41100302022110203300
52410121133143433
6103503114442000
76160343406225
oct1206212244360
9267803286330
1086740912368
1133871a90340
1214989433300
138244865b66
1442ac13194c
1523ca1ab113
hex14322948f0

86740912368 has 160 divisors (see below), whose sum is σ = 283422574080. Its totient is φ = 25142261760.

The previous prime is 86740912367. The next prime is 86740912397. The reversal of 86740912368 is 86321904768.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86740912367) 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, 287521 + ... + 506112.

It is an arithmetic number, because the mean of its divisors is an integer number (1771391088).

Almost surely, 286740912368 is an apocalyptic number.

86740912368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86740912368 is an abundant number, since it is smaller than the sum of its proper divisors (196681661712).

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

86740912368 is a wasteful number, since it uses less digits than its factorization.

86740912368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793684 (or 793672 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 86740912368 in words is "eighty-six billion, seven hundred forty million, nine hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1518 1584 1656 2024 2277 2376 2484 3036 3312 4048 4554 4752 4968 6072 6831 9108 9936 12144 13662 18216 27324 36432 54648 109296 793633 1587266 2380899 3174532 4761798 6349064 7142697 8729963 9523596 12698128 14285394 17459926 18253559 19047192 21428091 26189889 28570788 34919852 36507118 38094384 42856182 52379778 54760677 57141576 69839704 73014236 78569667 85712364 104759556 109521354 114283152 139679408 146028472 157139334 164282031 171424728 200789149 209519112 219042708 235709001 292056944 314278668 328564062 342849456 401578298 419038224 438085416 471418002 492846093 602367447 628557336 657128124 803156596 876170832 942836004 985692186 1204734894 1257114672 1314256248 1606313192 1807102341 1885672008 1971384372 2409469788 2628512496 3212626384 3614204682 3771344016 3942768744 4818939576 5421307023 7228409364 7885537488 9637879152 10842614046 14456818728 21685228092 28913637456 43370456184 86740912368