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44525252544 = 2632913161043
BaseRepresentation
bin101001011101111010…
…010110111111000000
311020221001010011222120
4221131322112333000
51212141431040134
632242110404240
73134243254623
oct513572267700
9136831104876
1044525252544
1117979387283
128767500680
13427775b1a6
1422255abdba
151258e12649
hexa5de96fc0

44525252544 has 112 divisors (see below), whose sum is σ = 122800993920. Its totient is φ = 14220344320.

The previous prime is 44525252521. The next prime is 44525252557.

It is a happy number.

44525252544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×445252525442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44525252496 and 44525252505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698887 + ... + 759929.

Almost surely, 244525252544 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 44525252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61400496960).

44525252544 is an abundant number, since it is smaller than the sum of its proper divisors (78275741376).

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

44525252544 is a wasteful number, since it uses less digits than its factorization.

44525252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61218 (or 61208 counting only the distinct ones).

The product of its digits is 1280000, while the sum is 42.

The spelling of 44525252544 in words is "forty-four billion, five hundred twenty-five million, two hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 131 174 192 232 262 348 393 464 524 696 786 928 1048 1392 1572 1856 2096 2784 3144 3799 4192 5568 6288 7598 8384 11397 12576 15196 22794 25152 30392 45588 60784 61043 91176 121568 122086 182352 183129 243136 244172 364704 366258 488344 729408 732516 976688 1465032 1770247 1953376 2930064 3540494 3906752 5310741 5860128 7080988 7996633 10621482 11720256 14161976 15993266 21242964 23989899 28323952 31986532 42485928 47979798 56647904 63973064 84971856 95959596 113295808 127946128 169943712 191919192 231902357 255892256 339887424 383838384 463804714 511784512 695707071 767676768 927609428 1391414142 1535353536 1855218856 2782828284 3710437712 5565656568 7420875424 11131313136 14841750848 22262626272 44525252544