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5120742144 = 28371576067
BaseRepresentation
bin1001100010011100…
…00101001100000000
3111012212120122122110
410301032011030000
540441402222034
62204043135320
7240616406250
oct46116051400
914185518573
105120742144
112198586401
12baab14540
13637b8554b
14368131960
151ee856de9
hex131385300

5120742144 has 144 divisors (see below), whose sum is σ = 15677381888. Its totient is φ = 1453510656.

The previous prime is 5120742083. The next prime is 5120742157. The reversal of 5120742144 is 4412470215.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840999 + ... + 847065.

Almost surely, 25120742144 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 5120742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838690944).

5120742144 is an abundant number, since it is smaller than the sum of its proper divisors (10556639744).

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

5120742144 is a wasteful number, since it uses less digits than its factorization.

5120742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 5120742144 is about 71559.3609809367. The cubic root of 5120742144 is about 1723.6310240844.

The spelling of 5120742144 in words is "five billion, one hundred twenty million, seven hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 157 168 192 224 256 314 336 384 448 471 628 672 768 896 942 1099 1256 1344 1792 1884 2198 2512 2688 3297 3768 4396 5024 5376 6067 6594 7536 8792 10048 12134 13188 15072 17584 18201 20096 24268 26376 30144 35168 36402 40192 42469 48536 52752 60288 70336 72804 84938 97072 105504 120576 127407 140672 145608 169876 194144 211008 254814 281344 291216 339752 388288 422016 509628 582432 679504 776576 844032 952519 1019256 1164864 1359008 1553152 1905038 2038512 2329728 2718016 2857557 3810076 4077024 4659456 5436032 5715114 6667633 7620152 8154048 10872064 11430228 13335266 15240304 16308096 20002899 22860456 26670532 30480608 32616192 40005798 45720912 53341064 60961216 80011596 91441824 106682128 121922432 160023192 182883648 213364256 243844864 320046384 365767296 426728512 640092768 731534592 853457024 1280185536 1706914048 2560371072 5120742144