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9136836198400 = 2145247232
BaseRepresentation
bin1000010011110101010111…
…1000000100000000000000
31012100110202211020221012111
42010331111320010000000
52144144220031322100
631233223221105104
71632054214160221
oct204752570040000
935313684227174
109136836198400
112a02a019232a9
121036943b58194
135137a5148521
1423832206d248
1510ca0b7a06ba
hex84f55e04000

9136836198400 has 135 divisors (see below), whose sum is σ = 22663460793981. Its totient is φ = 3653960663040.

The previous prime is 9136836198397. The next prime is 9136836198421. The reversal of 9136836198400 is 48916386319.

The square root of 9136836198400 is 3022720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3289261031424 + 5847575166976 = 1813632^2 + 2418176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1934538439 + ... + 1934543161.

Almost surely, 29136836198400 is an apocalyptic number.

9136836198400 is the 3022720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9136836198400

9136836198400 is an abundant number, since it is smaller than the sum of its proper divisors (13526624595581).

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

9136836198400 is an frugal number, since it uses more digits than its factorization.

9136836198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9484 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The spelling of 9136836198400 in words is "nine trillion, one hundred thirty-six billion, eight hundred thirty-six million, one hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 4723 5120 6400 8192 9446 10240 12800 16384 18892 20480 23615 25600 37784 40960 47230 51200 75568 81920 94460 102400 118075 151136 188920 204800 236150 302272 377840 409600 472300 604544 755680 944600 1209088 1511360 1889200 2418176 3022720 3778400 4836352 6045440 7556800 9672704 12090880 15113600 19345408 22306729 24181760 30227200 38690816 44613458 48363520 60454400 77381632 89226916 96727040 111533645 120908800 178453832 193454080 223067290 241817600 356907664 386908160 446134580 483635200 557668225 713815328 892269160 967270400 1115336450 1427630656 1784538320 1934540800 2230672900 2855261312 3569076640 4461345800 5710522624 7138153280 8922691600 11421045248 14276306560 17845383200 22842090496 28552613120 35690766400 45684180992 57105226240 71381532800 91368361984 114210452480 142763065600 182736723968 228420904960 285526131200 365473447936 456841809920 571052262400 913683619840 1142104524800 1827367239680 2284209049600 4568418099200 9136836198400