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85417064304 = 24311132957247
BaseRepresentation
bin100111110001101000…
…0001111011101110000
322011110212021110020020
41033203100033131300
52344413232024204
6103123504043440
76112500031665
oct1174320173560
9264425243206
1085417064304
1133252784730
121467a003580
1380934cb100
1441c43a3a6c
15234dd59bd9
hex13e340f770

85417064304 has 120 divisors (see below), whose sum is σ = 260662459392. Its totient is φ = 23892860160.

The previous prime is 85417064287. The next prime is 85417064339. The reversal of 85417064304 is 40346071458.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389392 + ... + 567855.

Almost surely, 285417064304 is an apocalyptic number.

It is an amenable number.

85417064304 is an abundant number, since it is smaller than the sum of its proper divisors (175245395088).

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

85417064304 is a wasteful number, since it uses less digits than its factorization.

85417064304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957295 (or 957276 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 85417064304 in words is "eighty-five billion, four hundred seventeen million, sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 169 176 208 264 286 312 338 429 507 528 572 624 676 858 1014 1144 1352 1716 1859 2028 2288 2704 3432 3718 4056 5577 6864 7436 8112 11154 14872 22308 29744 44616 89232 957247 1914494 2871741 3828988 5743482 7657976 10529717 11486964 12444211 15315952 21059434 22973928 24888422 31589151 37332633 42118868 45947856 49776844 63178302 74665266 84237736 99553688 126356604 136886321 149330532 161774743 168475472 199107376 252713208 273772642 298661064 323549486 410658963 485324229 505426416 547545284 597322128 647098972 821317926 970648458 1095090568 1294197944 1642635852 1779522173 1941296916 2190181136 2588395888 3285271704 3559044346 3882593832 5338566519 6570543408 7118088692 7765187664 10677133038 14236177384 21354266076 28472354768 42708532152 85417064304