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270132007629 = 311119325312711
BaseRepresentation
bin1111101110010100011…
…1110101001011001101
3221211020222000210210110
43323211013311023031
513411212243221004
6324032534230233
725342060115361
oct3734507651315
9854228023713
10270132007629
11a4620526590
124442a7b5379
131c61cc06043
14d10845b2a1
15706045d589
hex3ee51f52cd

270132007629 has 32 divisors (see below), whose sum is σ = 393549124608. Its totient is φ = 163454192000.

The previous prime is 270132007609. The next prime is 270132007657. The reversal of 270132007629 is 926700231072.

It is not a de Polignac number, because 270132007629 - 25 = 270132007597 is a prime.

It is a super-2 number, since 2×2701320076292 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270132007609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99641584 + ... + 99644294.

It is an arithmetic number, because the mean of its divisors is an integer number (12298410144).

Almost surely, 2270132007629 is an apocalyptic number.

It is an amenable number.

270132007629 is a deficient number, since it is larger than the sum of its proper divisors (123417116979).

270132007629 is a wasteful number, since it uses less digits than its factorization.

270132007629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449.

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 270132007629 in words is "two hundred seventy billion, one hundred thirty-two million, seven thousand, six hundred twenty-nine".

Divisors: 1 3 11 33 1193 2531 2711 3579 7593 8133 13123 27841 29821 39369 83523 89463 3019483 3234223 6861541 9058449 9702669 20584623 33214313 35576453 75476951 99642939 106729359 226430853 8185818413 24557455239 90044002543 270132007629