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20202893396832 = 2537911213237571
BaseRepresentation
bin1001001011111110110100…
…10010001100101101100000
32122112101012101011222102210
410211333122102030231200
510122001011202144312
6110545025303442120
74153416350315106
oct445773222145540
978471171158383
1020202893396832
116489aa96a8093
122323558156340
13b37180ba1233
144dbb7a715c76
152507cc342e3c
hex125fda48cb60

20202893396832 has 96 divisors (see below), whose sum is σ = 53708909345280. Its totient is φ = 6648432560640.

The previous prime is 20202893396797. The next prime is 20202893396909. The reversal of 20202893396832 is 23869339820202.

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, 84920607 + ... + 85158177.

It is an arithmetic number, because the mean of its divisors is an integer number (559467805680).

Almost surely, 220202893396832 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 20202893396832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26854454672640).

20202893396832 is an abundant number, since it is smaller than the sum of its proper divisors (33506015948448).

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

20202893396832 is a wasteful number, since it uses less digits than its factorization.

20202893396832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248876 (or 248868 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 20202893396832 in words is "twenty trillion, two hundred two billion, eight hundred ninety-three million, three hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 11213 22426 33639 44852 67278 89704 134556 179408 237571 269112 358816 475142 538224 712713 885827 950284 1076448 1425426 1771654 1900568 2657481 2850852 3543308 3801136 5314962 5701704 7086616 7602272 10629924 11403408 14173232 18768109 21259848 22806816 28346464 37536218 42519696 56304327 75072436 85039392 112608654 150144872 225217308 300289744 450434616 600579488 900869232 1801738464 2663883623 5327767246 7991650869 10655534492 15983301738 21311068984 31966603476 42622137968 63933206952 85244275936 127866413904 210446806217 255732827808 420893612434 631340418651 841787224868 1262680837302 1683574449736 2525361674604 3367148899472 5050723349208 6734297798944 10101446698416 20202893396832