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47233157306661 = 33191709209925667
BaseRepresentation
bin10101011110101010100111…
…00100000001100100100101
320012020110000221111101002000
422233111103210001210211
522142332001232303121
6244242340220035513
712643324445523414
oct1257252344014445
9205213027441060
1047233157306661
1114060518a2a897
12536a128992b99
1320480b5748431
14b941502b147b
1556d999782526
hex2af553901925

47233157306661 has 64 divisors (see below), whose sum is σ = 73739030400000. Its totient is φ = 29798647333056.

The previous prime is 47233157306659. The next prime is 47233157306683. The reversal of 47233157306661 is 16660375133274.

It is a happy number.

It is not a de Polignac number, because 47233157306661 - 21 = 47233157306659 is a prime.

It is a super-2 number, since 2×472331573066612 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47233157306598 and 47233157306607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47233157306161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1840216150 + ... + 1840241816.

It is an arithmetic number, because the mean of its divisors is an integer number (1152172350000).

Almost surely, 247233157306661 is an apocalyptic number.

It is an amenable number.

47233157306661 is a deficient number, since it is larger than the sum of its proper divisors (26505873093339).

47233157306661 is a wasteful number, since it uses less digits than its factorization.

47233157306661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29503 (or 29497 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 47233157306661 in words is "forty-seven trillion, two hundred thirty-three billion, one hundred fifty-seven million, three hundred six thousand, six hundred sixty-one".

Divisors: 1 3 9 19 27 57 171 513 1709 2099 5127 6297 15381 18891 25667 32471 39881 46143 56673 77001 97413 119643 231003 292239 358929 487673 693009 876717 1076787 1463019 3587191 4389057 10761573 13167171 32284719 43864903 53875033 68156629 96854157 131594709 161625099 204469887 394784127 484875297 613409661 833433157 1023625627 1184352381 1454625891 1840228983 2500299471 3070876881 7500898413 9212630643 22502695239 27637891929 92072431397 276217294191 828651882573 1749376196543 2485955647719 5248128589629 15744385768887 47233157306661