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9875930680 = 2357113206471
BaseRepresentation
bin10010011001010011…
…01011111000111000
3221111021022021000101
421030221223320320
5130211214240210
64311551245144
7466510011550
oct111451537070
927437267011
109875930680
114208783990
121ab75197b4
13c1509a285
146998a8160
153cc051a3a
hex24ca6be38

9875930680 has 64 divisors (see below), whose sum is σ = 27703918080. Its totient is φ = 3078211200.

The previous prime is 9875930677. The next prime is 9875930681. The reversal of 9875930680 is 860395789.

It is a happy number.

9875930680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9875930681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1600156 + ... + 1606315.

It is an arithmetic number, because the mean of its divisors is an integer number (432873720).

Almost surely, 29875930680 is an apocalyptic number.

It is an amenable number.

9875930680 is an abundant number, since it is smaller than the sum of its proper divisors (17827987400).

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

9875930680 is a wasteful number, since it uses less digits than its factorization.

9875930680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206500 (or 3206496 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The square root of 9875930680 is about 99377.7172207130. The cubic root of 9875930680 is about 2145.4876105413.

The spelling of 9875930680 in words is "nine billion, eight hundred seventy-five million, nine hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3206471 6412942 12825884 16032355 22445297 25651768 32064710 35271181 44890594 64129420 70542362 89781188 112226485 128258840 141084724 176355905 179562376 224452970 246898267 282169448 352711810 448905940 493796534 705423620 897811880 987593068 1234491335 1410847240 1975186136 2468982670 4937965340 9875930680