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49977022752252 = 2234835011370871
BaseRepresentation
bin10110101110100001011101…
…01100000010010111111100
320112221202102122102010210000
423113100232230002113330
523022310420311033002
6254143043255114300
713345502133142461
oct1327205654022774
9215852378363700
1049977022752252
1114a19155499842
125731a6b972990
1321b6a7529bbab
14c4ac87b5d668
155ba03c84661c
hex2d742eb025fc

49977022752252 has 120 divisors (see below), whose sum is σ = 132250646892672. Its totient is φ = 16454967847200.

The previous prime is 49977022752229. The next prime is 49977022752253. The reversal of 49977022752252 is 25225722077994.

49977022752252 is a `hidden beast` number, since 4 + 9 + 97 + 70 + 227 + 5 + 2 + 252 = 666.

It is a super-2 number, since 2×499770227522522 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49977022752252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49977022752253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134570377 + ... + 134941247.

Almost surely, 249977022752252 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 49977022752252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66125323446336).

49977022752252 is an abundant number, since it is smaller than the sum of its proper divisors (82273624140420).

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

49977022752252 is a wasteful number, since it uses less digits than its factorization.

49977022752252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375981 (or 375970 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 49977022752252 in words is "forty-nine trillion, nine hundred seventy-seven billion, twenty-two million, seven hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2988 4482 5011 6723 8964 10022 13446 15033 20044 26892 30066 45099 60132 90198 135297 180396 270594 370871 405891 415913 541188 741742 811782 831826 1112613 1247739 1483484 1623564 1663652 2225226 2495478 3337839 3743217 4450452 4990956 6675678 7486434 10013517 11229651 13351356 14972868 20027034 22459302 30040551 30782293 33688953 40054068 44918604 60081102 61564586 67377906 92346879 120162204 123129172 134755812 184693758 277040637 369387516 554081274 831121911 1108162548 1662243822 1858434581 2493365733 3324487644 3716869162 4986731466 5575303743 7433738324 9973462932 11150607486 16725911229 22301214972 33451822458 50177733687 66903644916 100355467374 150533201061 154250070223 200710934748 301066402122 308500140446 462750210669 602132804244 617000280892 925500421338 1388250632007 1851000842676 2776501264014 4164751896021 5553002528028 8329503792042 12494255688063 16659007584084 24988511376126 49977022752252