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49525440160 = 255759212703
BaseRepresentation
bin101110000111111100…
…100011111010100000
311201211111212000220111
4232013330203322200
51302412003041120
634430210021104
73402200203240
oct560774437240
9151744760814
1049525440160
111a004902239
129721b77794
1348936542a1
14257b6bbb20
15144cda475a
hexb87f23ea0

49525440160 has 144 divisors (see below), whose sum is σ = 136034228736. Its totient is φ = 16691037696.

The previous prime is 49525440137. The next prime is 49525440169. The reversal of 49525440160 is 6104452594.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49525440169) by changing a digit.

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, 3892369 + ... + 3905071.

It is an arithmetic number, because the mean of its divisors is an integer number (944682144).

Almost surely, 249525440160 is an apocalyptic number.

49525440160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49525440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68017114368).

49525440160 is an abundant number, since it is smaller than the sum of its proper divisors (86508788576).

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

49525440160 is a wasteful number, since it uses less digits than its factorization.

49525440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843 (or 12776 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 49525440160 in words is "forty-nine billion, five hundred twenty-five million, four hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 295 413 472 560 590 826 944 1120 1180 1652 1888 2065 2360 3304 3481 4130 4720 6608 6962 8260 9440 12703 13216 13924 16520 17405 24367 25406 27848 33040 34810 48734 50812 55696 63515 66080 69620 88921 97468 101624 111392 121835 127030 139240 177842 194936 203248 243670 254060 278480 355684 389872 406496 444605 487340 508120 556960 711368 749477 779744 889210 974680 1016240 1422736 1498954 1778420 1949360 2032480 2845472 2997908 3556840 3747385 3898720 5246339 5995816 7113680 7494770 10492678 11991632 14227360 14989540 20985356 23983264 26231695 29979080 41970712 44219143 52463390 59958160 83941424 88438286 104926780 119916320 167882848 176876572 209853560 221095715 309534001 353753144 419707120 442191430 619068002 707506288 839414240 884382860 1238136004 1415012576 1547670005 1768765720 2476272008 3095340010 3537531440 4952544016 6190680020 7075062880 9905088032 12381360040 24762720080 49525440160