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84028008982401 = 321123215231053497
BaseRepresentation
bin10011000110110001001011…
…101000000110011110000001
3102000111222222102101110020200
4103012301023220012132001
542003203330244414101
6454413533500155413
723461552252421331
oct2306611350063601
9360458872343220
1084028008982401
1124857095512850
129511236238b69
1337b6a656a2003
1416a6d97b410c1
159aab64831986
hex4c6c4ba06781

84028008982401 has 72 divisors (see below), whose sum is σ = 138505944167136. Its totient is φ = 48679858888320.

The previous prime is 84028008982391. The next prime is 84028008982429. The reversal of 84028008982401 is 10428980082048.

84028008982401 is a `hidden beast` number, since 8 + 4 + 0 + 2 + 80 + 0 + 89 + 82 + 401 = 666.

It is not a de Polignac number, because 84028008982401 - 211 = 84028008980353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84028008982471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79234285 + ... + 80287781.

It is an arithmetic number, because the mean of its divisors is an integer number (1923693668988).

Almost surely, 284028008982401 is an apocalyptic number.

It is an amenable number.

84028008982401 is a deficient number, since it is larger than the sum of its proper divisors (54477935184735).

84028008982401 is a wasteful number, since it uses less digits than its factorization.

84028008982401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055083 (or 1055057 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 84028008982401 in words is "eighty-four trillion, twenty-eight billion, eight million, nine hundred eighty-two thousand, four hundred one".

Divisors: 1 3 9 11 23 33 69 99 207 253 529 759 1523 1587 2277 4569 4761 5819 13707 16753 17457 35029 50259 52371 105087 150777 315261 385319 805667 1053497 1155957 2417001 3160491 3467871 7251003 8862337 9481473 11588467 24230431 26587011 34765401 72691293 79761033 104296203 218073879 266534741 557299913 799604223 1604475931 1671899739 2398812669 4813427793 5015699217 6130299043 14440283379 17649235241 18390897129 36902946413 52947705723 55172691387 110708839239 158843117169 332126517717 405932410543 848767767499 1217797231629 2546303302497 3653391694887 7638909907491 9336445442489 28009336327467 84028008982401