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85454173368 = 23331961341347
BaseRepresentation
bin100111110010101110…
…1110011010010111000
322011120110002210022000
41033211131303102320
52400002232021433
6103131311301000
76113430326454
oct1174535632270
9264513083260
1085454173368
1133271720283
121468a51a760
13809b0c1b35
1441c92a3664
15235223a113
hex13e57734b8

85454173368 has 128 divisors (see below), whose sum is σ = 253962912000. Its totient is φ = 26543064960.

The previous prime is 85454173319. The next prime is 85454173373. The reversal of 85454173368 is 86337145458.

85454173368 is a `hidden beast` number, since 8 + 5 + 4 + 541 + 7 + 33 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79671 + ... + 421017.

It is an arithmetic number, because the mean of its divisors is an integer number (1984085250).

Almost surely, 285454173368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85454173368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126981456000).

85454173368 is an abundant number, since it is smaller than the sum of its proper divisors (168508738632).

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

85454173368 is a wasteful number, since it uses less digits than its factorization.

85454173368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341442 (or 341432 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 85454173368 in words is "eighty-five billion, four hundred fifty-four million, one hundred seventy-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 61 72 76 108 114 122 152 171 183 216 228 244 342 366 456 488 513 549 684 732 1026 1098 1159 1368 1464 1647 2052 2196 2318 3294 3477 4104 4392 4636 6588 6954 9272 10431 13176 13908 20862 27816 31293 41724 62586 83448 125172 250344 341347 682694 1024041 1365388 2048082 2730776 3072123 4096164 6144246 6485593 8192328 9216369 12288492 12971186 18432738 19456779 20822167 24576984 25942372 36865476 38913558 41644334 51884744 58370337 62466501 73730952 77827116 83288668 116740674 124933002 155654232 166577336 175111011 187399503 233481348 249866004 350222022 374799006 395621173 466962696 499732008 562198509 700444044 749598012 791242346 1124397018 1186863519 1400888088 1499196024 1582484692 2248794036 2373727038 3164969384 3560590557 4497588072 4747454076 7121181114 9494908152 10681771671 14242362228 21363543342 28484724456 42727086684 85454173368