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12463940400 = 2435227138327
BaseRepresentation
bin10111001101110100…
…01010001100110000
31012011122002202221020
423212322022030300
5201011232043100
65420441255440
7620603513442
oct134672121460
935148082836
1012463940400
11531662999a
1224ba194580
131238302782
148634a8492
154ce3645a0
hex2e6e8a330

12463940400 has 120 divisors (see below), whose sum is σ = 40074530304. Its totient is φ = 3311366400.

The previous prime is 12463940381. The next prime is 12463940413. The reversal of 12463940400 is 404936421.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306037 + ... + 344363.

Almost surely, 212463940400 is an apocalyptic number.

12463940400 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 12463940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037265152).

12463940400 is an abundant number, since it is smaller than the sum of its proper divisors (27610589904).

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

12463940400 is a wasteful number, since it uses less digits than its factorization.

12463940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38619 (or 38608 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 12463940400 in words is "twelve billion, four hundred sixty-three million, nine hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 271 300 400 542 600 813 1084 1200 1355 1626 2168 2710 3252 4065 4336 5420 6504 6775 8130 10840 13008 13550 16260 20325 21680 27100 32520 38327 40650 54200 65040 76654 81300 108400 114981 153308 162600 191635 229962 306616 325200 383270 459924 574905 613232 766540 919848 958175 1149810 1533080 1839696 1916350 2299620 2874525 3066160 3832700 4599240 5749050 7665400 9198480 10386617 11498100 15330800 20773234 22996200 31159851 41546468 45992400 51933085 62319702 83092936 103866170 124639404 155799255 166185872 207732340 249278808 259665425 311598510 415464680 498557616 519330850 623197020 778996275 830929360 1038661700 1246394040 1557992550 2077323400 2492788080 3115985100 4154646800 6231970200 12463940400