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207996853033216 = 28132693372
BaseRepresentation
bin101111010010110000001010…
…100010100001100100000000
31000021110022020022102222120101
4233102300022202201210000
5204230310023334030331
62014212233555052144
761545163626463552
oct5722601242414400
91007408208388511
10207996853033216
1160301a74085895
121b3b32252a1054
138c0a032bc2400
14395115c3614d2
15190a71ead0061
hexbd2c0a8a1900

207996853033216 has 81 divisors (see below), whose sum is σ = 449581412760291. Its totient is φ = 95997163032576.

The previous prime is 207996853033183. The next prime is 207996853033231. The reversal of 207996853033216 is 612330358699702.

The square root of 207996853033216 is 14422096.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28059310786816 + 179937542246400 = 5297104^2 + 13414080^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2999761300 + ... + 2999830636.

Almost surely, 2207996853033216 is an apocalyptic number.

207996853033216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

207996853033216 is the 14422096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207996853033216

207996853033216 is an abundant number, since it is smaller than the sum of its proper divisors (241584559727075).

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

207996853033216 is an frugal number, since it uses more digits than its factorization.

207996853033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138716 (or 69352 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 64.

207996853033216 divided by its sum of digits (64) gives a square (3249950828644 = 18027622).

The spelling of 207996853033216 in words is "two hundred seven trillion, nine hundred ninety-six billion, eight hundred fifty-three million, thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 21632 43264 69337 138674 277348 554696 901381 1109392 1802762 2218784 3605524 4437568 7211048 8875136 11717953 14422096 17750272 23435906 28844192 46871812 57688384 93743624 115376768 187487248 230753536 374974496 749948992 1499897984 2999795968 4807619569 9615239138 19230478276 38460956552 62499054397 76921913104 124998108794 153843826208 249996217588 307687652416 499992435176 615375304832 812487707161 999984870352 1230750609664 1624975414322 1999969740704 3249950828644 3999939481408 6499901657288 7999878962816 12999803314576 15999757925632 25999606629152 51999213258304 103998426516608 207996853033216