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20613948672 = 2831710315329
BaseRepresentation
bin10011001100101011…
…111110010100000000
31222012121210002111110
4103030223332110000
5314204132324142
613245300243320
71326555446502
oct231453762400
958177702443
1020613948672
118819044819
123bb36a0540
131c36948485
14dd7a5dd72
15809ae199c
hex4ccafe500

20613948672 has 144 divisors (see below), whose sum is σ = 58658221440. Its totient is φ = 6403915776.

The previous prime is 20613948643. The next prime is 20613948683. The reversal of 20613948672 is 27684931602.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1337104 + ... + 1352432.

It is an arithmetic number, because the mean of its divisors is an integer number (407348760).

Almost surely, 220613948672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20613948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29329110720).

20613948672 is an abundant number, since it is smaller than the sum of its proper divisors (38044272768).

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

20613948672 is a wasteful number, since it uses less digits than its factorization.

20613948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15468 (or 15454 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 20613948672 in words is "twenty billion, six hundred thirteen million, nine hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 103 128 136 192 204 206 256 272 309 384 408 412 544 618 768 816 824 1088 1236 1632 1648 1751 2176 2472 3264 3296 3502 4352 4944 5253 6528 6592 7004 9888 10506 13056 13184 14008 15329 19776 21012 26368 28016 30658 39552 42024 45987 56032 61316 79104 84048 91974 112064 122632 168096 183948 224128 245264 260593 336192 367896 448256 490528 521186 672384 735792 781779 981056 1042372 1344768 1471584 1563558 1578887 1962112 2084744 2943168 3127116 3157774 3924224 4169488 4736661 5886336 6254232 6315548 8338976 9473322 11772672 12508464 12631096 16677952 18946644 25016928 25262192 26841079 33355904 37893288 50033856 50524384 53682158 66711808 75786576 80523237 100067712 101048768 107364316 151573152 161046474 200135424 202097536 214728632 303146304 322092948 404195072 429457264 606292608 644185896 858914528 1212585216 1288371792 1717829056 2576743584 3435658112 5153487168 6871316224 10306974336 20613948672