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96666271744 = 214723472
BaseRepresentation
bin101101000000111000…
…0100100000000000000
3100020111211122101210211
41122001300210000000
53040433031143434
6112224033403504
76661323516100
oct1320160440000
9306454571724
1096666271744
1137aa5654789
1216899409594
139166c4b483
1449703c5200
1527ab723464
hex1681c24000

96666271744 has 135 divisors (see below), whose sum is σ = 225540143283. Its totient is φ = 41309011968.

The previous prime is 96666271729. The next prime is 96666271759. The reversal of 96666271744 is 44717266669.

The square root of 96666271744 is 310912.

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

It is an interprime number because it is at equal distance from previous prime (96666271729) and next prime (96666271759).

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, 278576979 + ... + 278577325.

Almost surely, 296666271744 is an apocalyptic number.

96666271744 is the 310912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96666271744

96666271744 is an abundant number, since it is smaller than the sum of its proper divisors (128873871539).

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

96666271744 is an frugal number, since it uses more digits than its factorization.

96666271744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 356 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 58.

The spelling of 96666271744 in words is "ninety-six billion, six hundred sixty-six million, two hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 347 392 448 512 694 784 896 1024 1388 1568 1792 2048 2429 2776 3136 3584 4096 4858 5552 6272 7168 8192 9716 11104 12544 14336 16384 17003 19432 22208 25088 28672 34006 38864 44416 50176 57344 68012 77728 88832 100352 114688 120409 136024 155456 177664 200704 240818 272048 310912 355328 401408 481636 544096 621824 710656 802816 842863 963272 1088192 1243648 1421312 1685726 1926544 2176384 2487296 2842624 3371452 3853088 4352768 4974592 5685248 5900041 6742904 7706176 8705536 9949184 11800082 13485808 15412352 17411072 19898368 23600164 26971616 30824704 34822144 39796736 47200328 53943232 61649408 69644288 94400656 107886464 123298816 139288576 188801312 215772928 246597632 278577152 377602624 431545856 493195264 755205248 863091712 986390528 1510410496 1726183424 1972781056 3020820992 3452366848 6041641984 6904733696 12083283968 13809467392 24166567936 48333135872 96666271744