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11744400640 = 28571310759
BaseRepresentation
bin10101111000000010…
…10101010100000000
31010022111011100221111
422330001111110000
5143023031310030
65221215133104
7564015521050
oct127401252400
933274140844
1011744400640
114a87454035
122339214194
1311522115bb
147d5ac5560
1548b0d262a
hex2bc055500

11744400640 has 72 divisors (see below), whose sum is σ = 32150321280. Its totient is φ = 4026648576.

The previous prime is 11744400617. The next prime is 11744400709. The reversal of 11744400640 is 4600444711.

It is a zygodrome in base 4.

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, 646420 + ... + 664339.

It is an arithmetic number, because the mean of its divisors is an integer number (446532240).

Almost surely, 211744400640 is an apocalyptic number.

11744400640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11744400640 is an abundant number, since it is smaller than the sum of its proper divisors (20405920640).

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

11744400640 is an equidigital number, since it uses as much as digits as its factorization.

11744400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310787 (or 1310773 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 11744400640 in words is "eleven billion, seven hundred forty-four million, four hundred thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 1310759 2621518 5243036 6553795 9175313 10486072 13107590 18350626 20972144 26215180 36701252 41944288 45876565 52430360 73402504 83888576 91753130 104860720 146805008 167777152 183506260 209721440 293610016 335554304 367012520 419442880 587220032 734025040 838885760 1174440064 1468050080 1677771520 2348880128 2936100160 5872200320 11744400640