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85674127000 = 23537111112651
BaseRepresentation
bin100111111001010010…
…0110110111010011000
322012010202222120221211
41033302210312322120
52400430034031000
6103205205512504
76122041030630
oct1176244667230
9265122876854
1085674127000
11333748a1740
1214730112734
138104844407
14420a59b6c0
1523666d67ba
hex13f2936e98

85674127000 has 128 divisors (see below), whose sum is σ = 249946145280. Its totient is φ = 26703600000.

The previous prime is 85674126961. The next prime is 85674127003. The reversal of 85674127000 is 72147658.

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 (85674127003) 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, 479326 + ... + 633325.

It is an arithmetic number, because the mean of its divisors is an integer number (1952704260).

Almost surely, 285674127000 is an apocalyptic number.

It is an amenable number.

85674127000 is an abundant number, since it is smaller than the sum of its proper divisors (164272018280).

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

85674127000 is a wasteful number, since it uses less digits than its factorization.

85674127000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112690 (or 1112676 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 85674127000 in words is "eighty-five billion, six hundred seventy-four million, one hundred twenty-seven thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 1112651 2225302 4450604 5563255 7788557 8901208 11126510 12239161 15577114 22253020 24478322 27816275 31154228 38942785 44506040 48956644 55632550 61195805 62308456 77885570 85674127 97913288 111265100 122391610 139081375 155771140 171348254 194713925 222530200 244783220 278162750 305979025 311542280 342696508 389427850 428370635 489566440 556325500 611958050 685393016 778855700 856741270 973569625 1112651000 1223916100 1529895125 1557711400 1713482540 1947139250 2141853175 2447832200 3059790250 3426965080 3894278500 4283706350 6119580500 7788557000 8567412700 10709265875 12239161000 17134825400 21418531750 42837063500 85674127000