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763708201216 = 2819322832
BaseRepresentation
bin10110001110100001000…
…11100101100100000000
32201000021010201100020221
423013100203211210000
5100003033244414331
61342502005112424
7106114254413332
oct13072043454400
92630233640227
10763708201216
11274983408164
121040183b8714
135702c22c91c
1428d6c471452
1514cec141711
hexb1d08e5900

763708201216 has 81 divisors (see below), whose sum is σ = 1537806588129. Its totient is φ = 378533265408.

The previous prime is 763708201183. The next prime is 763708201271. The reversal of 763708201216 is 612102807367.

The square root of 763708201216 is 873904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 185037625600 + 578670575616 = 430160^2 + 760704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2698615411 + ... + 2698615693.

Almost surely, 2763708201216 is an apocalyptic number.

763708201216 is the 873904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763708201216

763708201216 is an abundant number, since it is smaller than the sum of its proper divisors (774098386913).

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

763708201216 is an frugal number, since it uses more digits than its factorization.

763708201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 763708201216 in words is "seven hundred sixty-three billion, seven hundred eight million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 256 283 386 566 772 1132 1544 2264 3088 4528 6176 9056 12352 18112 24704 36224 37249 49408 54619 72448 74498 80089 109238 148996 160178 218476 297992 320356 436952 595984 640712 873904 1191968 1281424 1747808 2383936 2562848 3495616 4767872 5125696 6991232 9535744 10251392 10541467 13982464 15457177 20502784 21082934 30914354 42165868 61828708 84331736 123657416 168663472 247314832 337326944 494629664 674653888 989259328 1349307776 1978518656 2698615552 2983235161 3957037312 5966470322 11932940644 23865881288 47731762576 95463525152 190927050304 381854100608 763708201216