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44704152948 = 223721337315679
BaseRepresentation
bin101001101000100100…
…110011110101110100
311021101111202021012110
4221220210303311310
51213023230343243
632311541051020
73141545013300
oct515044636564
9137344667173
1044704152948
1117a60368854
1287b73b6a70
1342a5838710
14224125ad00
15126999ee33
hexa68933d74

44704152948 has 144 divisors (see below), whose sum is σ = 131032366080. Its totient is φ = 11757747456.

The previous prime is 44704152937. The next prime is 44704152953. The reversal of 44704152948 is 84925140744.

44704152948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×447041529482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44704152897 and 44704152906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2843373 + ... + 2859051.

Almost surely, 244704152948 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 44704152948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65516183040).

44704152948 is an abundant number, since it is smaller than the sum of its proper divisors (86328213132).

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

44704152948 is a wasteful number, since it uses less digits than its factorization.

44704152948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16086 (or 16077 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 44704152948 in words is "forty-four billion, seven hundred four million, one hundred fifty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 373 546 588 637 746 1092 1119 1274 1492 1911 2238 2548 2611 3822 4476 4849 5222 7644 7833 9698 10444 14547 15666 15679 18277 19396 29094 31332 31358 33943 36554 47037 54831 58188 62716 67886 73108 94074 101829 109662 109753 135772 188148 203658 203827 219324 219506 237601 329259 407316 407654 439012 475202 611481 658518 712803 768271 815308 950404 1222962 1317036 1425606 1426789 1536542 2304813 2445924 2851212 2853578 3073084 4280367 4609626 5707156 5848267 8560734 9219252 9987523 11696534 17121468 17544801 19975046 23393068 29962569 35089602 39950092 40937869 59925138 70179204 76027471 81875738 119850276 122813607 152054942 163751476 228082413 245627214 286565083 304109884 456164826 491254428 532192297 573130166 859695249 912329652 1064384594 1146260332 1596576891 1719390498 2128769188 3193153782 3438780996 3725346079 6386307564 7450692158 11176038237 14901384316 22352076474 44704152948