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103774945280 = 2195311277
BaseRepresentation
bin110000010100101111…
…0000000000000000000
3100220212020212102122212
41200221132000000000
53200012341222110
6115401253121252
710332432323606
oct1405136000000
9326766772585
10103774945280
1140013284396
1218142029228
139a2a913a86
14504654d876
152a75856e05
hex1829780000

103774945280 has 160 divisors (see below), whose sum is σ = 257295139200. Its totient is φ = 40139489280.

The previous prime is 103774945189. The next prime is 103774945297. The reversal of 103774945280 is 82549477301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81264002 + ... + 81265278.

It is an arithmetic number, because the mean of its divisors is an integer number (1608094620).

Almost surely, 2103774945280 is an apocalyptic number.

103774945280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103774945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128647569600).

103774945280 is an abundant number, since it is smaller than the sum of its proper divisors (153520193920).

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

103774945280 is an frugal number, since it uses more digits than its factorization.

103774945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 103774945280 in words is "one hundred three billion, seven hundred seventy-four million, nine hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1277 1280 1984 2048 2480 2554 2560 3968 4096 4960 5108 5120 6385 7936 8192 9920 10216 10240 12770 15872 16384 19840 20432 20480 25540 31744 32768 39587 39680 40864 40960 51080 63488 65536 79174 79360 81728 81920 102160 126976 131072 158348 158720 163456 163840 197935 204320 253952 262144 316696 317440 326912 327680 395870 408640 507904 524288 633392 634880 653824 655360 791740 817280 1015808 1266784 1269760 1307648 1310720 1583480 1634560 2031616 2533568 2539520 2615296 2621440 3166960 3269120 4063232 5067136 5079040 5230592 6333920 6538240 8126464 10134272 10158080 10461184 12667840 13076480 16252928 20268544 20316160 20922368 25335680 26152960 40537088 40632320 41844736 50671360 52305920 81074176 81264640 83689472 101342720 104611840 162148352 167378944 202685440 209223680 324296704 334757888 405370880 418447360 648593408 669515776 810741760 836894720 1297186816 1621483520 1673789440 2594373632 3242967040 3347578880 5188747264 6485934080 10377494528 12971868160 20754989056 25943736320 51887472640 103774945280