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2765134372 = 22711131921913
BaseRepresentation
bin1010010011010000…
…1001101000100100
321010201002101021011
42210310021220210
521130333244442
61134214232004
7125344153150
oct24464115044
97121071234
102765134372
111199934420
12652055604
13350b406b0
141c334a060
15112b4e117
hexa4d09a24

2765134372 has 144 divisors (see below), whose sum is σ = 6860633472. Its totient is φ = 941621760.

The previous prime is 2765134343. The next prime is 2765134387. The reversal of 2765134372 is 2734315672.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1444488 + ... + 1446400.

It is an arithmetic number, because the mean of its divisors is an integer number (47643288).

Almost surely, 22765134372 is an apocalyptic number.

2765134372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765134372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430316736).

2765134372 is an abundant number, since it is smaller than the sum of its proper divisors (4095499100).

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

2765134372 is a wasteful number, since it uses less digits than its factorization.

2765134372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1965 counting only the distinct ones).

The product of its digits is 211680, while the sum is 40.

The square root of 2765134372 is about 52584.5449918510. The cubic root of 2765134372 is about 1403.5850924815.

The spelling of 2765134372 in words is "two billion, seven hundred sixty-five million, one hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 361 364 418 494 532 572 722 836 988 1001 1444 1463 1729 1913 2002 2527 2717 2926 3458 3826 3971 4004 4693 5054 5434 5852 6916 7652 7942 9386 10108 10868 13391 15884 18772 19019 21043 24869 26782 27797 32851 36347 38038 42086 49738 51623 53564 55594 65702 72694 76076 84172 99476 103246 111188 131404 145388 147301 174083 206492 254429 273559 294602 348166 361361 399817 472511 508858 547118 589204 690593 696332 722722 799634 945022 1017716 1094236 1381186 1445444 1599268 1890044 1914913 2762372 2798719 3307577 3829826 4834151 5197621 5597438 6615154 7596523 7659652 8977709 9668302 10395242 11194876 13230308 15193046 17955418 19336604 20790484 30386092 35910836 36383347 53175661 62843963 72766694 98754799 106351322 125687926 145533388 197509598 212702644 251375852 395019196 691283593 1382567186 2765134372