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6994233144 = 2333312334483
BaseRepresentation
bin1101000001110001…
…11000011100111000
3200001102212212011000
412200320320130320
5103311010430034
63114010405000
7335216000163
oct64070703470
920042785130
106994233144
112a6a075978
121432430760
138760670c2
144a4c98ada
152ae07a599
hex1a0e38738

6994233144 has 128 divisors (see below), whose sum is σ = 20145715200. Its totient is φ = 2246019840.

The previous prime is 6994233119. The next prime is 6994233157. The reversal of 6994233144 is 4413324996.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6994233144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557927 + ... + 1562409.

It is an arithmetic number, because the mean of its divisors is an integer number (157388400).

Almost surely, 26994233144 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 6994233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072857600).

6994233144 is an abundant number, since it is smaller than the sum of its proper divisors (13151482056).

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

6994233144 is a wasteful number, since it uses less digits than its factorization.

6994233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4752 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 6994233144 is about 83631.5319960121. The cubic root of 6994233144 is about 1912.4057242263.

The spelling of 6994233144 in words is "six billion, nine hundred ninety-four million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 233 248 279 372 466 558 699 744 837 932 1116 1398 1674 1864 2097 2232 2796 3348 4194 4483 5592 6291 6696 7223 8388 8966 12582 13449 14446 16776 17932 21669 25164 26898 28892 35864 40347 43338 50328 53796 57784 65007 80694 86676 107592 121041 130014 138973 161388 173352 195021 242082 260028 277946 322776 390042 416919 484164 520056 555892 780084 833838 968328 1044539 1111784 1250757 1560168 1667676 2089078 2501514 3133617 3335352 3752271 4178156 5003028 6267234 7504542 8356312 9400851 10006056 12534468 15009084 18801702 25068936 28202553 30018168 32380709 37603404 56405106 64761418 75206808 97142127 112810212 129522836 194284254 225620424 259045672 291426381 388568508 582852762 777137016 874279143 1165705524 1748558286 2331411048 3497116572 6994233144