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242208662004 = 2232191312703101
BaseRepresentation
bin1110000110010011000…
…0101110000111110100
3212011011221022212200100
43201210300232013310
512432020404141004
6303134044114100
723333104441431
oct3414460560764
9764157285610
10242208662004
11937a1525741
123ab37235930
1319abcb4691a
14ba19b42b88
156478cd9739
hex3864c2e1f4

242208662004 has 72 divisors (see below), whose sum is σ = 649393224480. Its totient is φ = 75903048000.

The previous prime is 242208661987. The next prime is 242208662009. The reversal of 242208662004 is 400266802242.

242208662004 is a `hidden beast` number, since 2 + 4 + 2 + 20 + 8 + 6 + 620 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 242208662004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242208662009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261947 + ... + 1441154.

It is an arithmetic number, because the mean of its divisors is an integer number (9019350340).

Almost surely, 2242208662004 is an apocalyptic number.

It is an amenable number.

242208662004 is an abundant number, since it is smaller than the sum of its proper divisors (407184562476).

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

242208662004 is a wasteful number, since it uses less digits than its factorization.

242208662004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703261 (or 2703256 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 242208662004 in words is "two hundred forty-two billion, two hundred eight million, six hundred sixty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 342 393 524 684 786 1179 1572 2358 2489 4716 4978 7467 9956 14934 22401 29868 44802 89604 2703101 5406202 8109303 10812404 16218606 24327909 32437212 48655818 51358919 97311636 102717838 154076757 205435676 308153514 354106231 462230271 616307028 708212462 924460542 1062318693 1416424924 1848921084 2124637386 3186956079 4249274772 6373912158 6728018389 12747824316 13456036778 20184055167 26912073556 40368110334 60552165501 80736220668 121104331002 242208662004