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985464895828 = 227172931274287
BaseRepresentation
bin11100101011100100100…
…10001111100101010100
310111012122202001121222111
432111302102033211110
5112121213003131303
62032414420440404
7131124511256020
oct16256222174524
93435582047874
10985464895828
1134aa2a274006
1213aba6249104
1371c0cb6359a
14359a7c7b380
151a97a683b6d
hexe57248f954

985464895828 has 144 divisors (see below), whose sum is σ = 2230743836160. Its totient is φ = 371406228480.

The previous prime is 985464895817. The next prime is 985464895829. The reversal of 985464895828 is 828598464589.

985464895828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9854648958282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985464895829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13228501 + ... + 13302787.

It is an arithmetic number, because the mean of its divisors is an integer number (15491276640).

Almost surely, 2985464895828 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 985464895828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115371918080).

985464895828 is an abundant number, since it is smaller than the sum of its proper divisors (1245278940332).

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

985464895828 is a wasteful number, since it uses less digits than its factorization.

985464895828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74406 (or 74373 counting only the distinct ones).

The product of its digits is 1592524800, while the sum is 76.

The spelling of 985464895828 in words is "nine hundred eighty-five billion, four hundred sixty-four million, eight hundred ninety-five thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 29 31 34 58 62 68 116 119 124 203 217 238 406 434 476 493 527 812 868 899 961 986 1054 1798 1922 1972 2108 3451 3596 3689 3844 6293 6727 6902 7378 12586 13454 13804 14756 15283 16337 25172 26908 27869 30566 32674 55738 61132 65348 74287 106981 111476 114359 148574 195083 213962 228718 297148 390166 427924 457436 473773 520009 780332 947546 1040018 1262879 1895092 2080036 2154323 2302897 2525758 3316411 4308646 4605794 5051516 6632822 8617292 8840153 9211588 13265644 15080261 16120279 17680306 30160522 32240558 35360612 36623491 39149249 60321044 64481116 66784013 71389807 73246982 78298498 133568026 142779614 146493964 156596996 256364437 267136052 274044743 285559228 467488091 499728649 512728874 548089486 934976182 999457298 1025457748 1096178972 1135328221 1213626719 1869952364 1998914596 2070304403 2270656442 2427253438 4140608806 4541312884 4854506876 7947297547 8281217612 8495387033 14492130821 15894595094 16990774066 28984261642 31789190188 33981548132 35195174851 57968523284 70390349702 140780699404 246366223957 492732447914 985464895828