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693427023552 = 26323254961603
BaseRepresentation
bin10100001011100110111…
…10001010111011000000
32110021212010021121010210
422011303132022323000
542330114304223202
61250320031354120
7101045524306614
oct12056336127300
92407763247123
10693427023552
1124809852815a
12b2483382940
135050b777873
14257c2385344
1513086eddc6c
hexa17378aec0

693427023552 has 112 divisors (see below), whose sum is σ = 1915243718400. Its totient is φ = 221002349568.

The previous prime is 693427023533. The next prime is 693427023557. The reversal of 693427023552 is 255320724396.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (693427023557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11225583 + ... + 11287185.

Almost surely, 2693427023552 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 693427023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957621859200).

693427023552 is an abundant number, since it is smaller than the sum of its proper divisors (1221816694848).

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

693427023552 is a wasteful number, since it uses less digits than its factorization.

693427023552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64190 (or 64180 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 693427023552 in words is "six hundred ninety-three billion, four hundred twenty-seven million, twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 2549 4416 5098 7647 10196 15294 20392 30588 40784 58627 61176 61603 81568 117254 122352 123206 163136 175881 184809 234508 244704 246412 351762 369618 469016 489408 492824 703524 739236 938032 985648 1407048 1416869 1478472 1876064 1971296 2814096 2833738 2956944 3752128 3942592 4250607 5628192 5667476 5913888 8501214 11256384 11334952 11827776 17002428 22669904 34004856 45339808 68009712 90679616 136019424 157026047 272038848 314052094 471078141 628104188 942156282 1256208376 1884312564 2512416752 3611599081 3768625128 5024833504 7223198162 7537250256 10049667008 10834797243 14446396324 15074500512 21669594486 28892792648 30149001024 43339188972 57785585296 86678377944 115571170592 173356755888 231142341184 346713511776 693427023552