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102964358497 = 711131923415741
BaseRepresentation
bin101111111100100100…
…1110110110101100001
3100211202202121100122011
41133321021312311201
53141332333432442
6115145015312521
710303360415050
oct1377111666541
9324682540564
10102964358497
113a737772560
1217b5667b741
13992b9c5220
144daaa2a397
152a295dd117
hex17f9276d61

102964358497 has 128 divisors (see below), whose sum is σ = 155579719680. Its totient is φ = 65463552000.

The previous prime is 102964358461. The next prime is 102964358527. The reversal of 102964358497 is 794853469201.

It is not a de Polignac number, because 102964358497 - 211 = 102964356449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102964358897) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17932047 + ... + 17937787.

It is an arithmetic number, because the mean of its divisors is an integer number (1215466560).

It is a 1-persistent number, because it is pandigital, but 2⋅102964358497 = 205928716994 is not.

Almost surely, 2102964358497 is an apocalyptic number.

It is an amenable number.

102964358497 is a deficient number, since it is larger than the sum of its proper divisors (52615361183).

102964358497 is a wasteful number, since it uses less digits than its factorization.

102964358497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855.

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 102964358497 in words is "one hundred two billion, nine hundred sixty-four million, three hundred fifty-eight thousand, four hundred ninety-seven".

Divisors: 1 7 11 13 19 23 41 77 91 133 143 161 209 247 253 287 299 437 451 533 779 943 1001 1463 1729 1771 2093 2717 3059 3157 3289 3731 4807 5453 5681 5741 5863 6601 8569 10127 10373 12259 17917 19019 23023 33649 39767 40187 41041 59983 62491 63151 70889 72611 74633 85813 109079 111397 125419 132043 134849 197087 232921 235381 437437 442057 522431 763553 779779 820963 924301 943943 1199869 1379609 1418027 1452473 1630447 1647667 1716559 2508817 2562131 2589191 3059953 4472239 5413763 5746741 8399083 9926189 10167311 12015913 15598297 17561719 17934917 18124337 18882149 21419671 27596987 31305673 32614621 33659483 37896341 49194629 58139107 59551393 70378919 102861497 109188079 132175043 193178909 228302347 235616381 344362403 358760831 406973749 416859751 492652433 639530177 720030479 774168109 1131476467 1337199461 2511325817 4476711239 5419176763 7920335269 9360396227 14709194071 102964358497