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20348872432 = 24717234191109
BaseRepresentation
bin10010111100111000…
…110010011011110000
31221112010222211020221
4102330320302123300
5313133302404212
613203110542424
71320156363460
oct227470623360
957463884227
1020348872432
1186a2454049
123b3a967a14
131bc3a57825
14db077bba0
157e16d0807
hex4bce326f0

20348872432 has 160 divisors (see below), whose sum is σ = 49946803200. Its totient is φ = 7825281024.

The previous prime is 20348872429. The next prime is 20348872433. The reversal of 20348872432 is 23427884302.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20348872433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18348294 + ... + 18349402.

It is an arithmetic number, because the mean of its divisors is an integer number (312167520).

Almost surely, 220348872432 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 20348872432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24973401600).

20348872432 is an abundant number, since it is smaller than the sum of its proper divisors (29597930768).

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

20348872432 is a wasteful number, since it uses less digits than its factorization.

20348872432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 20348872432 in words is "twenty billion, three hundred forty-eight million, eight hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 322 368 391 419 476 644 782 838 952 1109 1288 1564 1676 1904 2218 2576 2737 2933 3128 3352 4436 5474 5866 6256 6704 7123 7763 8872 9637 10948 11732 14246 15526 17744 18853 19274 21896 23464 25507 28492 31052 37706 38548 43792 46928 49861 51014 56984 62104 67459 75412 77096 99722 102028 113968 124208 131971 134918 150824 154192 163829 178549 199444 204056 263942 269836 301648 327658 357098 398888 408112 433619 464671 527884 539672 655316 714196 797776 867238 929342 1055768 1079344 1146803 1310632 1428392 1734476 1858684 2111536 2293606 2621264 2856784 3035333 3252697 3468952 3717368 4587212 6070666 6505394 6937904 7434736 7899407 9174424 10687433 12141332 13010788 15798814 18348848 21374866 24282664 26021576 31597628 42749732 48565328 52043152 55295849 63195256 74812031 85499464 110591698 126390512 149624062 170998928 181686361 221183396 299248124 363372722 442366792 598496248 726745444 884733584 1196992496 1271804527 1453490888 2543609054 2906981776 5087218108 10174436216 20348872432