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5026146972 = 22372116112739
BaseRepresentation
bin1001010111001010…
…01110101010011100
3110222021120201110120
410223211032222130
540243143200342
62150423434540
7235360354500
oct45345165234
913867521416
105026146972
11214a146680
12b832b5a50
136213b4b82
1435974a300
151e63bdaec
hex12b94ea9c

5026146972 has 144 divisors (see below), whose sum is σ = 15127781760. Its totient is φ = 1283990400.

The previous prime is 5026146949. The next prime is 5026147003. The reversal of 5026146972 is 2796416205.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388179 + ... + 400917.

It is an arithmetic number, because the mean of its divisors is an integer number (105054040).

Almost surely, 25026146972 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 5026146972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563890880).

5026146972 is an abundant number, since it is smaller than the sum of its proper divisors (10101634788).

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

5026146972 is a wasteful number, since it uses less digits than its factorization.

5026146972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12832 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5026146972 is about 70895.3240489103. The cubic root of 5026146972 is about 1712.9514788246.

The spelling of 5026146972 in words is "five billion, twenty-six million, one hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 61 66 77 84 98 122 132 147 154 183 196 231 244 294 308 366 427 462 539 588 671 732 854 924 1078 1281 1342 1617 1708 2013 2156 2562 2684 2989 3234 4026 4697 5124 5978 6468 8052 8967 9394 11956 12739 14091 17934 18788 25478 28182 32879 35868 38217 50956 56364 65758 76434 89173 98637 131516 140129 152868 178346 197274 267519 280258 356692 394548 420387 535038 560516 624211 777079 840774 980903 1070076 1248422 1554158 1681548 1872633 1961806 2331237 2496844 2942709 3108316 3745266 3923612 4662474 5439553 5885418 6866321 7490532 8547869 9324948 10879106 11770836 13732642 16318659 17095738 20598963 21758212 25643607 27465284 32637318 34191476 38076871 41197926 51287214 59835083 65274636 76153742 82395852 102574428 114230613 119670166 152307484 179505249 228461226 239340332 359010498 418845581 456922452 718020996 837691162 1256536743 1675382324 2513073486 5026146972