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47149389432 = 233217239916057
BaseRepresentation
bin101011111010010100…
…101001011001111000
311111200220220011001200
4223322110221121320
51233030220430212
633354331014200
73256256124525
oct537224513170
9144626804050
1047149389432
1118aa5668152
12917a29a360
1345a5302502
1423d3cd414c
15135e4ae6dc
hexafa529678

47149389432 has 96 divisors (see below), whose sum is σ = 135272592000. Its totient is φ = 14784878592.

The previous prime is 47149389421. The next prime is 47149389467. The reversal of 47149389432 is 23498394174.

47149389432 is a `hidden beast` number, since 4 + 71 + 493 + 89 + 4 + 3 + 2 = 666.

It is a super-5 number, since 5×471493894325 (a number of 55 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2928348 + ... + 2944404.

It is an arithmetic number, because the mean of its divisors is an integer number (1409089500).

Almost surely, 247149389432 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 47149389432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67636296000).

47149389432 is an abundant number, since it is smaller than the sum of its proper divisors (88123202568).

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

47149389432 is a wasteful number, since it uses less digits than its factorization.

47149389432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18485 (or 18478 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 47149389432 in words is "forty-seven billion, one hundred forty-nine million, three hundred eighty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2399 4798 7197 9596 14394 16057 19192 21591 28788 32114 40783 43182 48171 57576 64228 81566 86364 96342 122349 128456 144513 163132 172728 192684 244698 272969 289026 326264 367047 385368 489396 545938 578052 734094 818907 978792 1091876 1156104 1468188 1637814 2183752 2456721 2936376 3275628 4913442 6551256 9826884 19653768 38520743 77041486 115562229 154082972 231124458 308165944 346686687 462248916 654852631 693373374 924497832 1309705262 1386746748 1964557893 2619410524 2773493496 3929115786 5238821048 5893673679 7858231572 11787347358 15716463144 23574694716 47149389432