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212575153544 = 231319138177899
BaseRepresentation
bin1100010111111001110…
…1110110110110001000
3202022200201122200011222
43011332131312312020
511440323214403134
6241353343141212
721233544664145
oct3057635666610
9668621580158
10212575153544
1182175150186
1235246ba4808
1317079690230
14a4082593cc
1557e2455a2e
hex317e776d88

212575153544 has 64 divisors (see below), whose sum is σ = 452162760000. Its totient is φ = 92879343360.

The previous prime is 212575153541. The next prime is 212575153621. The reversal of 212575153544 is 445351575212.

It is a junction number, because it is equal to n+sod(n) for n = 212575153495 and 212575153504.

It is not an unprimeable number, because it can be changed into a prime (212575153541) 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, 2689907 + ... + 2767805.

It is an arithmetic number, because the mean of its divisors is an integer number (7065043125).

Almost surely, 2212575153544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212575153544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226081380000).

212575153544 is an abundant number, since it is smaller than the sum of its proper divisors (239587606456).

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

212575153544 is a wasteful number, since it uses less digits than its factorization.

212575153544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79318 (or 79314 counting only the distinct ones).

The product of its digits is 840000, while the sum is 44.

The spelling of 212575153544 in words is "two hundred twelve billion, five hundred seventy-five million, one hundred fifty-three thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1381 1976 2762 5524 11048 17953 26239 35906 52478 71812 77899 104956 143624 155798 209912 311596 341107 623192 682214 1012687 1364428 1480081 2025374 2728856 2960162 4050748 5920324 8101496 11840648 19241053 38482106 76964212 107578519 153928424 215157038 430314076 860628152 1398520747 2043991861 2797041494 4087983722 5594082988 8175967444 11188165976 16351934888 26571894193 53143788386 106287576772 212575153544