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85574902248080 = 2457316151801403
BaseRepresentation
bin10011011101010001110101…
…101001100111001010010000
3102012222212210001222022021222
4103131101311221213022100
542204024344433414310
6502000322315304212
724011403565266230
oct2335216551471220
9365885701868258
1085574902248080
11252a3126427763
129720ba574b068
1338998a9012cab
14171bbc126dcc0
159d5eed947055
hex4dd475a67290

85574902248080 has 160 divisors (see below), whose sum is σ = 234758184419328. Its totient is φ = 28388864448000.

The previous prime is 85574902248079. The next prime is 85574902248131. The reversal of 85574902248080 is 8084220947558.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106380659 + ... + 107182061.

Almost surely, 285574902248080 is an apocalyptic number.

85574902248080 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 85574902248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117379092209664).

85574902248080 is an abundant number, since it is smaller than the sum of its proper divisors (149183282171248).

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

85574902248080 is a wasteful number, since it uses less digits than its factorization.

85574902248080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807605 (or 807599 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 62.

The spelling of 85574902248080 in words is "eighty-five trillion, five hundred seventy-four billion, nine hundred two million, two hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 6151 8680 12302 17360 24604 30755 43057 49208 61510 86114 98416 123020 172228 190681 215285 246040 344456 381362 430570 492080 688912 762724 801403 861140 953405 1334767 1525448 1602806 1722280 1906810 2669534 3050896 3205612 3444560 3813620 4007015 5339068 5609821 6411224 6673835 7627240 8014030 10678136 11219642 12822448 13347670 15254480 16028060 21356272 22439284 24843493 26695340 28049105 32056120 44878568 49686986 53390680 56098210 64112240 89757136 99373972 106781360 112196420 124217465 173904451 198747944 224392840 248434930 347808902 397495888 448785680 496869860 695617804 869522255 993739720 1391235608 1739044510 1987479440 2782471216 3478089020 4929429853 6956178040 9858859706 13912356080 19717719412 24647149265 34506008971 39435438824 49294298530 69012017942 78870877648 98588597060 138024035884 152812325443 172530044855 197177194120 276048071768 305624650886 345060089710 394354388240 552096143536 611249301772 690120179420 764061627215 1069686278101 1222498603544 1380240358840 1528123254430 2139372556202 2444997207088 2760480717680 3056246508860 4278745112404 5348431390505 6112493017720 8557490224808 10696862781010 12224986035440 17114980449616 21393725562020 42787451124040 85574902248080