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49941522576 = 243211216932
BaseRepresentation
bin101110100000101111…
…110010100010010000
311202220111210012200100
4232200233302202100
51304240012210301
634535352052400
73415411636431
oct564057624220
9152814705610
1049941522576
111a1a8762100
129819394100
13492b906aba
1425baa6b488
151474693286
hexba0bf2890

49941522576 has 135 divisors (see below), whose sum is σ = 153718876857. Its totient is φ = 15124855680.

The previous prime is 49941522569. The next prime is 49941522583. The reversal of 49941522576 is 67522514994.

It is a happy number.

The square root of 49941522576 is 223476.

It is a perfect power (a square), and thus also a powerful number.

49941522576 is a `hidden beast` number, since 4 + 9 + 9 + 41 + 5 + 22 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (49941522569) and next prime (49941522583).

It can be written as a sum of positive squares in only one way, i.e., 19027443600 + 30914078976 = 137940^2 + 175824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29497986 + ... + 29499678.

Almost surely, 249941522576 is an apocalyptic number.

49941522576 is the 223476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49941522576

49941522576 is an abundant number, since it is smaller than the sum of its proper divisors (103777354281).

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

49941522576 is a wasteful number, since it uses less digits than its factorization.

49941522576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 1709 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 49941522576 in words is "forty-nine billion, nine hundred forty-one million, five hundred twenty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1693 1936 2178 2904 3386 4356 5079 5808 6772 8712 10158 13544 15237 17424 18623 20316 27088 30474 37246 40632 55869 60948 74492 81264 111738 121896 148984 167607 204853 223476 243792 297968 335214 409706 446952 614559 670428 819412 893904 1229118 1340856 1638824 1843677 2458236 2681712 2866249 3277648 3687354 4916472 5732498 7374708 8598747 9832944 11464996 14749416 17197494 22929992 25796241 29498832 31528739 34394988 45859984 51592482 63057478 68789976 94586217 103184964 126114956 137579952 189172434 206369928 252229912 283758651 346816129 378344868 412739856 504459824 567517302 693632258 756689736 1040448387 1135034604 1387264516 1513379472 2080896774 2270069208 2774529032 3121345161 4161793548 4540138416 5549058064 6242690322 8323587096 12485380644 16647174192 24970761288 49941522576