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88354198413 = 34131729170197
BaseRepresentation
bin101001001001001010…
…0100001001110001101
322110001120000022210000
41102102110201032031
52421422133322123
6104331145034513
76245333203125
oct1222224411615
9273046008700
1088354198413
113451a706a98
1215159785a39
138440b710a0
1443c24c3c85
152471b31b43
hex149252138d

88354198413 has 80 divisors (see below), whose sum is σ = 155690322480. Its totient is φ = 49408579584.

The previous prime is 88354198397. The next prime is 88354198477. The reversal of 88354198413 is 31489145388.

88354198413 is a `hidden beast` number, since 8 + 8 + 3 + 541 + 9 + 84 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4437957924 + 83916240489 = 66618^2 + 289683^2 .

It is not a de Polignac number, because 88354198413 - 24 = 88354198397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 88354198413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88354198213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 434031 + ... + 604227.

It is an arithmetic number, because the mean of its divisors is an integer number (1946129031).

Almost surely, 288354198413 is an apocalyptic number.

It is an amenable number.

88354198413 is a deficient number, since it is larger than the sum of its proper divisors (67336124067).

88354198413 is a wasteful number, since it uses less digits than its factorization.

88354198413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170268 (or 170259 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 88354198413 in words is "eighty-eight billion, three hundred fifty-four million, one hundred ninety-eight thousand, four hundred thirteen".

Divisors: 1 3 9 13 17 27 29 39 51 81 87 117 153 221 261 351 377 459 493 663 783 1053 1131 1377 1479 1989 2349 3393 4437 5967 6409 10179 13311 17901 19227 30537 39933 57681 170197 173043 510591 519129 1531773 2212561 2893349 4595319 4935713 6637683 8680047 13785957 14807139 19913049 26040141 37613537 44421417 59739147 64164269 78120423 83907121 112840611 133264251 179217441 192492807 234361269 251721363 338521833 399792753 577478421 755164089 1015565499 1090792573 1732435263 2265492267 3046696497 3272377719 5197305789 6796476801 9817133157 29451399471 88354198413