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68946185952 = 25327291179293
BaseRepresentation
bin100000000110110000…
…0110100111011100000
320120221222102010202200
41000031200310323200
52112200210422302
651401244013200
74660356624330
oct1001540647340
9216858363680
1068946185952
1127270362a76
1211441b31200
13666a018047
1434a0a9b0c0
151bd7d4e81c
hex100d834ee0

68946185952 has 144 divisors (see below), whose sum is σ = 231802028640. Its totient is φ = 19019621376.

The previous prime is 68946185933. The next prime is 68946185963. The reversal of 68946185952 is 25958164986.

68946185952 is a `hidden beast` number, since 6 + 8 + 9 + 4 + 618 + 5 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 68946185952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531183 + ... + 648110.

It is an arithmetic number, because the mean of its divisors is an integer number (1609736310).

Almost surely, 268946185952 is an apocalyptic number.

It is an amenable number.

68946185952 is an abundant number, since it is smaller than the sum of its proper divisors (162855842688).

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

68946185952 is a wasteful number, since it uses less digits than its factorization.

68946185952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179345 (or 1179334 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 68946185952 in words is "sixty-eight billion, nine hundred forty-six million, one hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 1179293 2358586 3537879 4717172 7075758 8255051 9434344 10613637 14151516 16510102 18868688 21227274 24765153 28303032 33020204 34199497 37737376 42454548 49530306 56606064 66040408 68398994 74295459 84909096 99060612 102598491 113212128 132080816 136797988 148590918 169818192 198121224 205196982 239396479 264161632 273595976 297181836 307795473 339636384 396242448 410393964 478792958 547191952 594363672 615590946 718189437 792484896 820787928 957585916 1094383904 1188727344 1231181892 1436378874 1641575856 1915171832 2154568311 2377454688 2462363784 2872757748 3283151712 3830343664 4309136622 4924727568 5745515496 7660687328 8618273244 9849455136 11491030992 17236546488 22982061984 34473092976 68946185952