Search a number
-
+
49113129852 = 2232791732577
BaseRepresentation
bin101101101111010111…
…101110001101111100
311200202210000111111100
4231233113232031330
51301040430123402
634321240453100
73356032500333
oct555727561574
9150683014440
1049113129852
1119913099416
129627a7a190
1348290c26a7
14253ca30d1a
151426aad71c
hexb6f5ee37c

49113129852 has 108 divisors (see below), whose sum is σ = 126668607520. Its totient is φ = 16042530816.

The previous prime is 49113129839. The next prime is 49113129859. The reversal of 49113129852 is 25892131194.

49113129852 is a `hidden beast` number, since 491 + 13 + 12 + 98 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49113129798 and 49113129807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49113129859) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85117788 + ... + 85118364.

Almost surely, 249113129852 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 49113129852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63334303760).

49113129852 is an abundant number, since it is smaller than the sum of its proper divisors (77555477668).

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

49113129852 is a wasteful number, since it uses less digits than its factorization.

49113129852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 834 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 49113129852 in words is "forty-nine billion, one hundred thirteen million, one hundred twenty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 173 237 316 346 474 519 577 692 711 948 1038 1154 1422 1557 1731 2076 2308 2844 3114 3462 5193 6228 6924 10386 13667 20772 27334 29929 41001 45583 54668 59858 82002 89787 91166 99821 119716 123003 136749 164004 179574 182332 199642 246006 269361 273498 299463 359148 399284 410247 492012 538722 546996 598926 820494 898389 1077444 1197852 1640988 1796778 2364391 3593556 4728782 7093173 7885859 9457564 14186346 15771718 17269033 21279519 23657577 28372692 31543436 34538066 42559038 47315154 51807099 69076132 70972731 85118076 94630308 103614198 141945462 155421297 207228396 283890924 310842594 621685188 1364253607 2728507214 4092760821 5457014428 8185521642 12278282463 16371043284 24556564926 49113129852