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20011315347744 = 253744367220639
BaseRepresentation
bin1001000110011001111110…
…10101111100000100100000
32121212001200222021201200020
410203030333111330010200
510110331133212111434
6110321023225153440
74133525022625620
oct443147725740440
977761628251606
1020011315347744
1164158299022a6
1222b23b102b880
13b2209c650b86
144d27a4d78880
1524a818466849
hex12333f57c120

20011315347744 has 96 divisors (see below), whose sum is σ = 60169463746560. Its totient is φ = 5704612223232.

The previous prime is 20011315347733. The next prime is 20011315347791. The reversal of 20011315347744 is 44774351311002.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20011315347696 and 20011315347705.

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, 33312624 + ... + 33908015.

It is an arithmetic number, because the mean of its divisors is an integer number (626765247360).

Almost surely, 220011315347744 is an apocalyptic number.

20011315347744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20011315347744 is an abundant number, since it is smaller than the sum of its proper divisors (40158148398816).

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

20011315347744 is a wasteful number, since it uses less digits than its factorization.

20011315347744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67221102 (or 67221094 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

Adding to 20011315347744 its reverse (44774351311002), we get a palindrome (64785666658746).

The spelling of 20011315347744 in words is "twenty trillion, eleven billion, three hundred fifteen million, three hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 443 672 886 1329 1772 2658 3101 3544 5316 6202 7088 9303 10632 12404 14176 18606 21264 24808 37212 42528 49616 74424 99232 148848 297696 67220639 134441278 201661917 268882556 403323834 470544473 537765112 806647668 941088946 1075530224 1411633419 1613295336 1882177892 2151060448 2823266838 3226590672 3764355784 5646533676 6453181344 7528711568 11293067352 15057423136 22586134704 29778743077 45172269408 59557486154 89336229231 119114972308 178672458462 208451201539 238229944616 357344916924 416902403078 476459889232 625353604617 714689833848 833804806156 952919778464 1250707209234 1429379667696 1667609612312 2501414418468 2858759335392 3335219224624 5002828836936 6670438449248 10005657673872 20011315347744