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96330770150976 = 2636454392
BaseRepresentation
bin10101111001110011000001…
…010101011111011001000000
3110122002010120000000111000000
4111321303001111133121000
5100111240404124312401
6540513424521000000
726201445200054454
oct2571630125373100
9418063500014000
1096330770150976
112876a717459749
12a979670023000
134199c4cc72a4a
1419b0611458664
15b20bb752a186
hex579cc155f640

96330770150976 has 147 divisors (see below), whose sum is σ = 286609756976571. Its totient is φ = 32109550049664.

The previous prime is 96330770150941. The next prime is 96330770150981. The reversal of 96330770150976 is 67905107703369.

The square root of 96330770150976 is 9814824.

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

96330770150976 is a `hidden beast` number, since 96 + 3 + 30 + 7 + 7 + 0 + 1 + 509 + 7 + 6 = 666.

It is a super-4 number, since 4×963307701509764 (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2119979265 + ... + 2120024703.

Almost surely, 296330770150976 is an apocalyptic number.

96330770150976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

96330770150976 is the 9814824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96330770150976

96330770150976 is an abundant number, since it is smaller than the sum of its proper divisors (190278986825595).

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

96330770150976 is an frugal number, since it uses more digits than its factorization.

96330770150976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90908 (or 45444 counting only the distinct ones).

The product of its (nonzero) digits is 45008460, while the sum is 63.

The spelling of 96330770150976 in words is "ninety-six trillion, three hundred thirty billion, seven hundred seventy million, one hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 45439 46656 90878 136317 181756 272634 363512 408951 545268 727024 817902 1090536 1226853 1454048 1635804 2181072 2453706 2908096 3271608 3680559 4362144 4907412 6543216 7361118 8724288 9814824 11041677 13086432 14722236 19629648 22083354 26172864 29444472 33125031 39259296 44166708 58888944 66250062 78518592 88333416 117777888 132500124 176666832 235555776 265000248 353333664 530000496 706667328 1060000992 2064702721 2120001984 4129405442 6194108163 8258810884 12388216326 16517621768 18582324489 24776432652 33035243536 37164648978 49552865304 55746973467 66070487072 74329297956 99105730608 111493946934 132140974144 148658595912 167240920401 198211461216 222987893868 297317191824 334481840802 396422922432 445975787736 501722761203 594634383648 668963681604 891951575472 1003445522406 1189268767296 1337927363208 1505168283609 1783903150944 2006891044812 2675854726416 3010336567218 3567806301888 4013782089624 5351709452832 6020673134436 8027564179248 10703418905664 12041346268872 16055128358496 24082692537744 32110256716992 48165385075488 96330770150976