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217100075480 = 23583197331937
BaseRepresentation
bin1100101000110000101…
…1000100000111011000
3202202101002002112011022
43022030023010013120
512024110104403410
6243422344022012
721453641123321
oct3121413040730
9682332075138
10217100075480
1184087372a92
12360aa461908
131761ac81532
14a7171b1448
1559a9818455
hex328c2c41d8

217100075480 has 64 divisors (see below), whose sum is σ = 496871353440. Its totient is φ = 85358006272.

The previous prime is 217100075359. The next prime is 217100075483. The reversal of 217100075480 is 84570001712.

It is a self number, because there is not a number n which added to its sum of digits gives 217100075480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217100075483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488072 + ... + 820008.

Almost surely, 2217100075480 is an apocalyptic number.

217100075480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217100075480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248435676720).

217100075480 is an abundant number, since it is smaller than the sum of its proper divisors (279771277960).

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

217100075480 is a wasteful number, since it uses less digits than its factorization.

217100075480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332228 (or 332224 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 217100075480 in words is "two hundred seventeen billion, one hundred million, seventy-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 83 166 197 332 394 415 664 788 830 985 1576 1660 1970 3320 3940 7880 16351 32702 65404 81755 130808 163510 327020 331937 654040 663874 1327748 1659685 2655496 3319370 6638740 13277480 27550771 55101542 65391589 110203084 130783178 137753855 220406168 261566356 275507710 326957945 523132712 551015420 653915890 1102030840 1307831780 2615663560 5427501887 10855003774 21710007548 27137509435 43420015096 54275018870 108550037740 217100075480