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2970126432 = 2532713113329
BaseRepresentation
bin1011000100001000…
…1000100001100000
321122222211001111200
42301002020201200
522040323021212
61210420041200
7133413441510
oct26102104140
97588731450
102970126432
111294616a49
126aa833200
13384454c80
1420266b840
15125b426dc
hexb1088860

2970126432 has 144 divisors (see below), whose sum is σ = 10395534240. Its totient is φ = 783323136.

The previous prime is 2970126431. The next prime is 2970126433. The reversal of 2970126432 is 2346210792.

2970126432 is a `hidden beast` number, since 2 + 9 + 7 + 0 + 1 + 2 + 643 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2970126431) and next prime (2970126433).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970126431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30457 + ... + 82872.

It is an arithmetic number, because the mean of its divisors is an integer number (72191210).

Almost surely, 22970126432 is an apocalyptic number.

It is an amenable number.

2970126432 is an abundant number, since it is smaller than the sum of its proper divisors (7425407808).

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

2970126432 is a wasteful number, since it uses less digits than its factorization.

2970126432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113365 (or 113354 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2970126432 is about 54498.8663368331. The cubic root of 2970126432 is about 1437.4463537585.

The spelling of 2970126432 in words is "two billion, nine hundred seventy million, one hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 113329 226658 339987 453316 679974 793303 906632 1019961 1359948 1473277 1586606 1813264 2039922 2379909 2719896 2946554 3173212 3626528 4079844 4419831 4759818 5439792 5893108 6346424 7139727 8159688 8839662 9519636 10312939 10879584 11786216 12692848 13259493 14279454 16319376 17679324 19039272 20625878 23572432 25385696 26518986 28558908 30938817 32638752 35358648 38078544 41251756 47144864 53037972 57117816 61877634 70717296 76157088 82503512 92816451 106075944 114235632 123755268 141434592 165007024 185632902 212151888 228471264 247510536 330014048 371265804 424303776 495021072 742531608 990042144 1485063216 2970126432