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2752140216 = 2337373731187
BaseRepresentation
bin1010010000001010…
…0101001110111000
321002210122012122010
42210002211032320
521114021441331
61133031525520
7125125543260
oct24402451670
97083565563
102752140216
111192569751
126498298a0
1334b241047
141c17267a0
15111933e46
hexa40a53b8

2752140216 has 128 divisors (see below), whose sum is σ = 8104250880. Its totient is φ = 762379776.

The previous prime is 2752140113. The next prime is 2752140221. The reversal of 2752140216 is 6120412572.

2752140216 = T216 + T217 + ... + T2546.

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 31 ways as a sum of consecutive naturals, for example, 2317975 + ... + 2319161.

It is an arithmetic number, because the mean of its divisors is an integer number (63314460).

Almost surely, 22752140216 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 2752140216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052125440).

2752140216 is an abundant number, since it is smaller than the sum of its proper divisors (5352110664).

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

2752140216 is a wasteful number, since it uses less digits than its factorization.

2752140216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2752140216 is about 52460.8445986147. The cubic root of 2752140216 is about 1401.3830237729.

Adding to 2752140216 its reverse (6120412572), we get a palindrome (8872552788).

The spelling of 2752140216 in words is "two billion, seven hundred fifty-two million, one hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 373 444 518 746 777 888 1036 1119 1187 1492 1554 2072 2238 2374 2611 2984 3108 3561 4476 4748 5222 6216 7122 7833 8309 8952 9496 10444 13801 14244 15666 16618 20888 24927 27602 28488 31332 33236 41403 43919 49854 55204 62664 66472 82806 87838 96607 99708 110408 131757 165612 175676 193214 199416 263514 289821 307433 331224 351352 386428 442751 527028 579642 614866 772856 885502 922299 1054056 1159284 1229732 1328253 1771004 1844598 2318568 2459464 2656506 3099257 3542008 3689196 5313012 6198514 7378392 9297771 10626024 12397028 16381787 18595542 24794056 32763574 37191084 49145361 65527148 74382168 98290722 114672509 131054296 196581444 229345018 344017527 393162888 458690036 688035054 917380072 1376070108 2752140216