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19905703248 = 24319137313509
BaseRepresentation
bin10010100010011110…
…001110110101010000
31220101021002111102110
4102202132032311100
5311231330000443
613051120145320
71303165454154
oct224236166520
956337074373
1019905703248
118495283522
123a36468240
131b52cb0042
14d6b97b064
157b7841233
hex4a278ed50

19905703248 has 160 divisors (see below), whose sum is σ = 54806313600. Its totient is φ = 6207971328.

The previous prime is 19905703219. The next prime is 19905703273. The reversal of 19905703248 is 84230750991.

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

It is a junction number, because it is equal to n+sod(n) for n = 19905703197 and 19905703206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39107218 + ... + 39107726.

It is an arithmetic number, because the mean of its divisors is an integer number (342539460).

Almost surely, 219905703248 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 19905703248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27403156800).

19905703248 is an abundant number, since it is smaller than the sum of its proper divisors (34900610352).

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

19905703248 is a wasteful number, since it uses less digits than its factorization.

19905703248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 19905703248 in words is "nineteen billion, nine hundred five million, seven hundred three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 137 152 228 274 304 313 411 456 509 548 626 822 912 939 1018 1096 1252 1527 1644 1878 2036 2192 2504 2603 3054 3288 3756 4072 5008 5206 5947 6108 6576 7512 7809 8144 9671 10412 11894 12216 15024 15618 17841 19342 20824 23788 24432 29013 31236 35682 38684 41648 42881 47576 58026 62472 69733 71364 77368 85762 95152 116052 124944 128643 139466 142728 154736 159317 171524 209199 232104 257286 278932 285456 318634 343048 418398 464208 477951 514572 557864 637268 686096 814739 836796 955902 1029144 1115728 1274536 1324927 1629478 1673592 1911804 2058288 2444217 2549072 2649854 3027023 3258956 3347184 3823608 3974781 4888434 5299708 6054046 6517912 7647216 7949562 9081069 9776868 10599416 12108092 13035824 15899124 18162138 19553736 21198832 21826429 24216184 31798248 36324276 39107472 43652858 48432368 63596496 65479287 72648552 87305716 130958574 145297104 174611432 261917148 349222864 414702151 523834296 829404302 1047668592 1244106453 1658808604 2488212906 3317617208 4976425812 6635234416 9952851624 19905703248