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5002951680 = 210325108571
BaseRepresentation
bin1001010100011001…
…01111110000000000
3110220122221021111200
410222030233300000
540221223423210
62144234341200
7234656246646
oct45214576000
913818837450
105002951680
112138043711
12b7758a800
1361965324c
1435662d196
151e433b0c0
hex12a32fc00

5002951680 has 132 divisors (see below), whose sum is σ = 17335256952. Its totient is φ = 1334108160.

The previous prime is 5002951673. The next prime is 5002951699. The reversal of 5002951680 is 861592005.

It is a happy number.

5002951680 is a `hidden beast` number, since 500 + 2 + 95 + 1 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8206 + ... + 100365.

Almost surely, 25002951680 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 5002951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667628476).

5002951680 is an abundant number, since it is smaller than the sum of its proper divisors (12332305272).

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

5002951680 is a wasteful number, since it uses less digits than its factorization.

5002951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108602 (or 108581 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5002951680 is about 70731.5465686988. The cubic root of 5002951680 is about 1710.3123672718.

The spelling of 5002951680 in words is "five billion, two million, nine hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 108571 217142 325713 434284 542855 651426 868568 977139 1085710 1302852 1628565 1737136 1954278 2171420 2605704 3257130 3474272 3908556 4342840 4885695 5211408 6514260 6948544 7817112 8685680 9771390 10422816 13028520 13897088 15634224 17371360 19542780 20845632 26057040 27794176 31268448 34742720 39085560 41691264 52114080 55588352 62536896 69485440 78171120 83382528 104228160 111176704 125073792 138970880 156342240 166765056 208456320 250147584 277941760 312684480 333530112 416912640 500295168 555883520 625368960 833825280 1000590336 1250737920 1667650560 2501475840 5002951680