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42170204664 = 23337191467913
BaseRepresentation
bin100111010001100010…
…100100000111111000
311000211220200100122000
4213101202210013320
51142331033022124
631212301501000
73022005553050
oct472142440770
9130756610560
1042170204664
111697aa87a15
12820a871760
133c90881133
1420808d0560
15116c2ba6c9
hex9d18a41f8

42170204664 has 128 divisors (see below), whose sum is σ = 140919744000. Its totient is φ = 11414483712.

The previous prime is 42170204651. The next prime is 42170204707. The reversal of 42170204664 is 46640207124.

42170204664 is a `hidden beast` number, since 4 + 2 + 170 + 20 + 466 + 4 = 666.

It is a super-2 number, since 2×421702046642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 705229 + ... + 762684.

It is an arithmetic number, because the mean of its divisors is an integer number (1100935500).

Almost surely, 242170204664 is an apocalyptic number.

It is an amenable number.

42170204664 is an abundant number, since it is smaller than the sum of its proper divisors (98749539336).

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

42170204664 is a wasteful number, since it uses less digits than its factorization.

42170204664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467954 (or 1467944 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42170204664 in words is "forty-two billion, one hundred seventy million, two hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 1467913 2935826 4403739 5871652 8807478 10275391 11743304 13211217 17614956 20550782 26422434 27890347 30826173 35229912 39633651 41101564 52844868 55780694 61652346 79267302 82203128 83671041 92478519 105689736 111561388 123304692 158534604 167342082 184957038 195232429 223122776 246609384 251013123 277435557 317069208 334684164 369914076 390464858 502026246 554871114 585697287 669368328 739828152 753039369 780929716 1004052492 1109742228 1171394574 1506078738 1561859432 1757091861 2008104984 2219484456 2342789148 3012157476 3514183722 4685578296 5271275583 6024314952 7028367444 10542551166 14056734888 21085102332 42170204664