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38364863350407 = 311217179251138373
BaseRepresentation
bin10001011100100100001000…
…00011010100011010000111
312000211122102021211210101220
420232102010003110122013
520012032220004203112
6213332324103051423
711036525035616016
oct1056220403243207
9160748367753356
1038364863350407
11112514a1211800
12437744b140b73
131853a39044709
14968c254b0a7d
15467e58ab398c
hex22e4840d4687

38364863350407 has 96 divisors (see below), whose sum is σ = 60105149072640. Its totient is φ = 21674590080000.

The previous prime is 38364863350381. The next prime is 38364863350417. The reversal of 38364863350407 is 70405336846383.

It is not a de Polignac number, because 38364863350407 - 216 = 38364863284871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38364863350417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277187673 + ... + 277326045.

It is an arithmetic number, because the mean of its divisors is an integer number (626095302840).

Almost surely, 238364863350407 is an apocalyptic number.

38364863350407 is a deficient number, since it is larger than the sum of its proper divisors (21740285722233).

38364863350407 is a wasteful number, since it uses less digits than its factorization.

38364863350407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138845 (or 138834 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 60.

The spelling of 38364863350407 in words is "thirty-eight trillion, three hundred sixty-four billion, eight hundred sixty-three million, three hundred fifty thousand, four hundred seven".

Divisors: 1 3 11 17 33 51 121 179 187 251 363 537 561 753 1969 2057 2761 3043 4267 5907 6171 8283 9129 12801 21659 30371 33473 44929 46937 64977 91113 100419 134787 138373 140811 368203 415119 494219 516307 763793 1104609 1482657 1522103 1548921 2291379 2352341 4566309 5436409 7057023 8401723 16309227 16743133 24768767 25205169 25875751 34731623 50229399 74306301 77627253 92418953 104194869 272456437 277256859 284633261 382047853 421069039 590437591 817369311 853899783 1146143559 1263207117 1771312773 2997020807 4202526383 4631759429 6216960517 6494813501 8991062421 12607579149 13895278287 18650881551 19484440503 50949353719 68386565687 71442948511 105688328789 152848061157 205159697061 214328845533 317064986367 752252222557 1162571616679 2256756667671 3487714850037 12788287783469 38364863350407