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274989989472 = 253111391873433
BaseRepresentation
bin1000000000001101010…
…11100011111001100000
3222021210112011212001220
410000012223203321200
514001134414130342
6330154553455040
725603336225632
oct4000653437140
9867715155056
10274989989472
11a6693753210
1245365711480
131cc154cbb03
14d449710a52
157246bb05ec
hex4006ae3e60

274989989472 has 96 divisors (see below), whose sum is σ = 793137018240. Its totient is φ = 82730757120.

The previous prime is 274989989471. The next prime is 274989989473.

274989989472 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (274989989471) and next prime (274989989473).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274989989471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789933 + ... + 1083500.

It is an arithmetic number, because the mean of its divisors is an integer number (8261843940).

Almost surely, 2274989989472 is an apocalyptic number.

274989989472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

274989989472 is an abundant number, since it is smaller than the sum of its proper divisors (518147028768).

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

274989989472 is a wasteful number, since it uses less digits than its factorization.

274989989472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873596 (or 1873588 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 78.

The spelling of 274989989472 in words is "two hundred seventy-four billion, nine hundred eighty-nine million, nine hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 139 176 264 278 352 417 528 556 834 1056 1112 1529 1668 2224 3058 3336 4448 4587 6116 6672 9174 12232 13344 18348 24464 36696 48928 73392 146784 1873433 3746866 5620299 7493732 11240598 14987464 20607763 22481196 29974928 41215526 44962392 59949856 61823289 82431052 89924784 123646578 164862104 179849568 247293156 260407187 329724208 494586312 520814374 659448416 781221561 989172624 1041628748 1562443122 1978345248 2083257496 2864479057 3124886244 4166514992 5728958114 6249772488 8333029984 8593437171 11457916228 12499544976 17186874342 22915832456 24999089952 34373748684 45831664912 68747497368 91663329824 137494994736 274989989472