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97516320057856 = 297263571181183
BaseRepresentation
bin10110001011000011001001…
…100111011110101000000000
3110210021110200000022210201101
4112023003021213132220000
5100240201410413322411
6543222213505544144
726353215214024240
oct2613031147365000
9423243600283641
1097516320057856
1129087491477a17
12ab2b396345054
13425499891b69b
141a11b5a7c5b20
15b419538268c1
hex58b0c99dea00

97516320057856 has 160 divisors (see below), whose sum is σ = 223916150734848. Its totient is φ = 41560657735680.

The previous prime is 97516320057847. The next prime is 97516320057869. The reversal of 97516320057856 is 65875002361579.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538129441 + ... + 538310623.

Almost surely, 297516320057856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97516320057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111958075367424).

97516320057856 is an abundant number, since it is smaller than the sum of its proper divisors (126399830676992).

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

97516320057856 is a wasteful number, since it uses less digits than its factorization.

97516320057856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182042 (or 182026 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 64.

The spelling of 97516320057856 in words is "ninety-seven trillion, five hundred sixteen billion, three hundred twenty million, fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 263 448 512 526 571 896 1052 1142 1792 1841 2104 2284 3584 3682 3997 4208 4568 7364 7994 8416 9136 14728 15988 16832 18272 29456 31976 33664 36544 58912 63952 67328 73088 117824 127904 134656 146176 150173 181183 235648 255808 292352 300346 362366 471296 511616 600692 724732 942592 1023232 1051211 1201384 1268281 1449464 2046464 2102422 2402768 2536562 2898928 4204844 4805536 5073124 5797856 8409688 9611072 10146248 11595712 16819376 19222144 20292496 23191424 33638752 38444288 40584992 46382848 47651129 67277504 76888576 81169984 92765696 95302258 103455493 134555008 162339968 190604516 206910986 269110016 324679936 333557903 381209032 413821972 538220032 649359872 667115806 724188451 762418064 827643944 1334231612 1448376902 1524836128 1655287888 2668463224 2896753804 3049672256 3310575776 5336926448 5793507608 6099344512 6621151552 10673852896 11587015216 12198689024 13242303104 21347705792 23174030432 24397378048 26484606208 27208794659 42695411584 46348060864 52969212416 54417589318 85390823168 92696121728 108835178636 170781646336 185392243456 190461562613 217670357272 370784486912 380923125226 435340714544 761846250452 870681429088 1523692500904 1741362858176 3047385001808 3482725716352 6094770003616 6965451432704 12189540007232 13930902865408 24379080014464 48758160028928 97516320057856