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99876542130 = 23457311871423
BaseRepresentation
bin101110100000100011…
…0110001011010110010
3100112210120100000220000
41131001012301122302
53114021343322010
6113514352530430
710134014413011
oct1350106613262
9315716300800
1099876542130
11393a2782402
1217434550a16
139559074951
144b968c4a78
1528e849e7c0
hex17411b16b2

99876542130 has 160 divisors (see below), whose sum is σ = 272656606464. Its totient is φ = 26228323584.

The previous prime is 99876542099. The next prime is 99876542159. The reversal of 99876542130 is 3124567899.

99876542130 is a `hidden beast` number, since 9 + 9 + 87 + 6 + 542 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70186599 + ... + 70188021.

It is a 2-persistent number, because it is pandigital, and so is 2⋅99876542130 = 199753084260, but 3⋅99876542130 = 299629626390 is not.

Almost surely, 299876542130 is an apocalyptic number.

99876542130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99876542130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136328303232).

99876542130 is an abundant number, since it is smaller than the sum of its proper divisors (172780064334).

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

99876542130 is a wasteful number, since it uses less digits than its factorization.

99876542130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 99876542130 in words is "ninety-nine billion, eight hundred seventy-six million, five hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 365 405 438 657 730 810 1095 1187 1314 1423 1971 2190 2374 2846 3285 3561 3942 4269 5913 5935 6570 7115 7122 8538 9855 10683 11826 11870 12807 14230 17805 19710 21345 21366 25614 29565 32049 35610 38421 42690 53415 59130 64035 64098 76842 86651 96147 103879 106830 115263 128070 160245 173302 192105 192294 207758 230526 259953 311637 320490 384210 433255 480735 519395 519906 576315 623274 779859 866510 934911 961470 1038790 1152630 1299765 1558185 1559718 1689101 1869822 2339577 2599530 2804733 3116370 3378202 3899295 4674555 4679154 5067303 5609466 7018731 7798590 8414199 8445505 9349110 10134606 11697885 14023665 14037462 15201909 16828398 16891010 23395770 25336515 28047330 30403818 35093655 42070995 45605727 50673030 70187310 76009545 84141990 91211454 123304373 136817181 152019090 228028635 246608746 273634362 369913119 456057270 616521865 684085905 739826238 1109739357 1233043730 1368171810 1849565595 2219478714 3329218071 3699131190 5548696785 6658436142 9987654213 11097393570 16646090355 19975308426 33292180710 49938271065 99876542130