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49622072256 = 263437258707
BaseRepresentation
bin101110001101101101…
…001011101111000000
311202002020200110020000
4232031231023233000
51303111222303011
634443541120000
73404452440411
oct561555135700
9152066613200
1049622072256
111a054403379
12974a3b9000
1348aa688b43
14258a473808
1514565e1356
hexb8db4bbc0

49622072256 has 140 divisors (see below), whose sum is σ = 151071501768. Its totient is φ = 16093582848.

The previous prime is 49622072243. The next prime is 49622072267. The reversal of 49622072256 is 65227022694.

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 19 ways as a sum of consecutive naturals, for example, 62455 + ... + 321161.

Almost surely, 249622072256 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 49622072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75535750884).

49622072256 is an abundant number, since it is smaller than the sum of its proper divisors (101449429512).

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

49622072256 is a wasteful number, since it uses less digits than its factorization.

49622072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258768 (or 258749 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 49622072256 in words is "forty-nine billion, six hundred twenty-two million, seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 288 296 324 333 432 444 576 592 648 666 864 888 999 1184 1296 1332 1728 1776 1998 2368 2592 2664 2997 3552 3996 5184 5328 5994 7104 7992 10656 11988 15984 21312 23976 31968 47952 63936 95904 191808 258707 517414 776121 1034828 1552242 2069656 2328363 3104484 4139312 4656726 6208968 6985089 8278624 9313452 9572159 12417936 13970178 16557248 18626904 19144318 20955267 24835872 27940356 28716477 37253808 38288636 41910534 49671744 55880712 57432954 74507616 76577272 83821068 86149431 111761424 114865908 149015232 153154544 167642136 172298862 223522848 229731816 258448293 306309088 335284272 344597724 447045696 459463632 516896586 612618176 670568544 689195448 775344879 918927264 1033793172 1341137088 1378390896 1550689758 1837854528 2067586344 2756781792 3101379516 4135172688 5513563584 6202759032 8270345376 12405518064 16540690752 24811036128 49622072256