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212985770490 = 23354119239907
BaseRepresentation
bin1100011001011011110…
…0001111000111111010
3202100202100022011202000
43012112330033013322
511442143324123430
6241502212121430
721246662115123
oct3062674170772
9670670264660
10212985770490
1182365a07829
1235340606276
131711377b13c
14a4469c504a
155818514e60
hex3196f0f1fa

212985770490 has 64 divisors (see below), whose sum is σ = 581814817920. Its totient is φ = 55410929280.

The previous prime is 212985770489. The next prime is 212985770509. The reversal of 212985770490 is 94077589212.

212985770490 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 85 + 7 + 70 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9608884 + ... + 9631023.

It is an arithmetic number, because the mean of its divisors is an integer number (9090856530).

Almost surely, 2212985770490 is an apocalyptic number.

212985770490 is an abundant number, since it is smaller than the sum of its proper divisors (368829047430).

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

212985770490 is a wasteful number, since it uses less digits than its factorization.

212985770490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19239964 (or 19239958 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 212985770490 in words is "two hundred twelve billion, nine hundred eighty-five million, seven hundred seventy thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 19239907 38479814 57719721 96199535 115439442 173159163 192399070 288598605 346318326 519477489 577197210 788836187 865795815 1038954978 1577672374 1731591630 2366508561 2597387445 3944180935 4733017122 5194774890 7099525683 7888361870 11832542805 14199051366 21298577049 23665085610 35497628415 42597154098 70995256830 106492885245 212985770490