Search a number
-
+
512413030400 = 2115210008067
BaseRepresentation
bin1110111010011100011…
…00100101100000000000
31210222121221111222210012
413131032030211200000
531343410213433100
61031222125324052
752010033615345
oct7351614454000
91728557458705
10512413030400
11188349884a07
1283386106628
1339421a36b8b
141ab2da387cc
15d4e078d135
hex774e325800

512413030400 has 72 divisors (see below), whose sum is σ = 1270474192260. Its totient is φ = 204965191680.

The previous prime is 512413030399. The next prime is 512413030421. The reversal of 512413030400 is 4030314215.

It is a super-2 number, since 2×5124130304002 (a number of 24 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 5 ways as a sum of consecutive naturals, for example, 4952834 + ... + 5055233.

Almost surely, 2512413030400 is an apocalyptic number.

512413030400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512413030400 is an abundant number, since it is smaller than the sum of its proper divisors (758061161860).

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

512413030400 is a wasteful number, since it uses less digits than its factorization.

512413030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10008099 (or 10008074 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 512413030400 its reverse (4030314215), we get a palindrome (516443344615).

The spelling of 512413030400 in words is "five hundred twelve billion, four hundred thirteen million, thirty 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 5120 6400 10240 12800 25600 51200 10008067 20016134 40032268 50040335 80064536 100080670 160129072 200161340 250201675 320258144 400322680 500403350 640516288 800645360 1000806700 1281032576 1601290720 2001613400 2562065152 3202581440 4003226800 5124130304 6405162880 8006453600 10248260608 12810325760 16012907200 20496521216 25620651520 32025814400 51241303040 64051628800 102482606080 128103257600 256206515200 512413030400