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96671055636736 = 2874125412
BaseRepresentation
bin10101111110101111111011…
…111011100110100100000000
3110200021122220002012020002021
4111332233323323212210000
5100132324310220333421
6541334023031531224
726235152610010000
oct2576577373464400
9420248802166067
1096671055636736
1128890a67774729
12aa135b8b29b14
1341c307003c499
1419c2c92a40000
15b299817b4341
hex57ebfbee6900

96671055636736 has 135 divisors (see below), whose sum is σ = 225129795061353. Its totient is φ = 41427148815360.

The previous prime is 96671055636733. The next prime is 96671055636737. The reversal of 96671055636736 is 63763655017669.

The square root of 96671055636736 is 9832144.

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., 83551592110336 + 13119463526400 = 9140656^2 + 3622080^2 .

It is a super-3 number, since 3×966710556367363 (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96671055636733) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7708394626 + ... + 7708407166.

Almost surely, 296671055636736 is an apocalyptic number.

96671055636736 is the 9832144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96671055636736

96671055636736 is an abundant number, since it is smaller than the sum of its proper divisors (128458739424617).

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

96671055636736 is an frugal number, since it uses more digits than its factorization.

96671055636736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25126 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 70.

The spelling of 96671055636736 in words is "ninety-six trillion, six hundred seventy-one billion, fifty-five million, six hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2401 2744 3136 4802 5488 6272 9604 10976 12541 12544 19208 21952 25082 38416 43904 50164 76832 87787 87808 100328 153664 175574 200656 307328 351148 401312 614509 614656 702296 802624 1229018 1404592 1605248 2458036 2809184 3210496 4301563 4916072 5618368 8603126 9832144 11236736 17206252 19664288 22473472 30110941 34412504 39328576 60221882 68825008 78657152 120443764 137650016 157276681 157314304 240887528 275300032 314553362 481775056 550600064 629106724 963550112 1100936767 1101200128 1258213448 1927100224 2201873534 2516426896 3854200448 4403747068 5032853792 7706557369 7708400896 8807494136 10065707584 15413114738 17614988272 20131415168 30826229476 35229976544 40262830336 53945901583 61652458952 70459953088 107891803166 123304917904 140919906176 215783606332 246609835808 281839812352 377621311081 431567212664 493219671616 755242622162 863134425328 986439343232 1510485244324 1726268850656 1972878686464 3020970488648 3452537701312 6041940977296 6905075402624 12083881954592 13810150805248 24167763909184 48335527818368 96671055636736