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11000425440 = 2535191206187
BaseRepresentation
bin10100011111010110…
…10010101111100000
31001101122020111211110
422033223102233200
5140012102103230
65015321143320
7536413034124
oct121753225740
931348214743
1011000425440
1147354a94a4
12217002ab40
1310640461a4
14764d81584
15445b254b0
hex28fad2be0

11000425440 has 96 divisors (see below), whose sum is σ = 36475125120. Its totient is φ = 2779052544.

The previous prime is 11000425393. The next prime is 11000425453. The reversal of 11000425440 is 4452400011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 593974 + ... + 612213.

It is an arithmetic number, because the mean of its divisors is an integer number (379949220).

Almost surely, 211000425440 is an apocalyptic number.

11000425440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000425440 is an abundant number, since it is smaller than the sum of its proper divisors (25474699680).

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

11000425440 is a wasteful number, since it uses less digits than its factorization.

11000425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206224 (or 1206216 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 11000425440 its reverse (4452400011), we get a palindrome (15452825451).

The spelling of 11000425440 in words is "eleven billion, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 1206187 2412374 3618561 4824748 6030935 7237122 9649496 12061870 14474244 18092805 19298992 22917553 24123740 28948488 36185610 38597984 45835106 48247480 57896976 68752659 72371220 91670212 96494960 114587765 115793952 137505318 144742440 183340424 192989920 229175530 275010636 289484880 343763295 366680848 458351060 550021272 578969760 687526590 733361696 916702120 1100042544 1375053180 1833404240 2200085088 2750106360 3666808480 5500212720 11000425440