Search a number
-
+
104925212160 = 293531343649
BaseRepresentation
bin110000110111000000…
…1111010111000000000
3101000211102022001011220
41201232001322320000
53204341323242120
6120111343235040
710403100405426
oct1415601727000
9330742261156
10104925212160
114055360197a
12184032a8a80
139b82014472
145115215116
152ae181bb40
hex186e07ae00

104925212160 has 160 divisors (see below), whose sum is σ = 336512167200. Its totient is φ = 27890024448.

The previous prime is 104925212111. The next prime is 104925212177. The reversal of 104925212160 is 61212529401.

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

It is a super-2 number, since 2×1049252121602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382016 + ... + 2425664.

It is an arithmetic number, because the mean of its divisors is an integer number (2103201045).

Almost surely, 2104925212160 is an apocalyptic number.

104925212160 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 104925212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168256083600).

104925212160 is an abundant number, since it is smaller than the sum of its proper divisors (231586955040).

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

104925212160 is an equidigital number, since it uses as much as digits as its factorization.

104925212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43988 (or 43972 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 104925212160 in words is "one hundred four billion, nine hundred twenty-five million, two hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 313 320 384 480 512 626 640 768 939 960 1252 1280 1536 1565 1878 1920 2504 2560 3130 3756 3840 4695 5008 6260 7512 7680 9390 10016 12520 15024 18780 20032 25040 30048 37560 40064 43649 50080 60096 75120 80128 87298 100160 120192 130947 150240 160256 174596 200320 218245 240384 261894 300480 349192 400640 436490 480768 523788 600960 654735 698384 801280 872980 1047576 1201920 1309470 1396768 1745960 2095152 2403840 2618940 2793536 3491920 4190304 5237880 5587072 6983840 8380608 10475760 11174144 13662137 13967680 16761216 20951520 22348288 27324274 27935360 33522432 40986411 41903040 54648548 55870720 67044864 68310685 81972822 83806080 109297096 111741440 136621370 163945644 167612160 204932055 218594192 273242740 327891288 335224320 409864110 437188384 546485480 655782576 819728220 874376768 1092970960 1311565152 1639456440 1748753536 2185941920 2623130304 3278912880 3497507072 4371883840 5246260608 6557825760 6995014144 8743767680 10492521216 13115651520 17487535360 20985042432 26231303040 34975070720 52462606080 104925212160