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9880486400 = 29521940627
BaseRepresentation
bin10010011001110110…
…00100001000000000
3221111120212201021202
421030323010020000
5130213401031100
64312233040332
7466563514541
oct111473041000
927446781252
109880486400
114210305744
121ab8b560a8
13c16003a75
1469a3324c8
153cc6517d5
hex24cec4200

9880486400 has 120 divisors (see below), whose sum is σ = 25768715280. Its totient is φ = 3744092160.

The previous prime is 9880486391. The next prime is 9880486433. The reversal of 9880486400 is 46840889.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222887 + ... + 263513.

It is an arithmetic number, because the mean of its divisors is an integer number (214739294).

Almost surely, 29880486400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9880486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884357640).

9880486400 is an abundant number, since it is smaller than the sum of its proper divisors (15888228880).

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

9880486400 is a wasteful number, since it uses less digits than its factorization.

9880486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40674 (or 40653 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 9880486400 is about 99400.6358128558. The cubic root of 9880486400 is about 2145.8174609146.

The spelling of 9880486400 in words is "nine billion, eight hundred eighty million, four hundred eighty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 512 608 640 760 800 950 1216 1280 1520 1600 1900 2432 2560 3040 3200 3800 4864 6080 6400 7600 9728 12160 12800 15200 24320 30400 40627 48640 60800 81254 121600 162508 203135 243200 325016 406270 650032 771913 812540 1015675 1300064 1543826 1625080 2031350 2600128 3087652 3250160 3859565 4062700 5200256 6175304 6500320 7719130 8125400 10400512 12350608 13000640 15438260 16250800 19297825 20801024 24701216 26001280 30876520 32501600 38595650 49402432 52002560 61753040 65003200 77191300 98804864 104005120 123506080 130006400 154382600 197609728 247012160 260012800 308765200 395219456 494024320 520025600 617530400 988048640 1235060800 1976097280 2470121600 4940243200 9880486400