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5033315152432 = 2471311634195023
BaseRepresentation
bin100100100111110100011…
…1101100011001000110000
3122211011212101110012222201
41021033220331203020300
51124431212134334212
614412134551512544
71026434145612340
oct111175075431060
918734771405881
105033315152432
111670687204696
126935a7088754
132a6841215508
141358841d2d20
158addc3e2b57
hex493e8f63230

5033315152432 has 160 divisors (see below), whose sum is σ = 11328394936320. Its totient is φ = 2122035252480.

The previous prime is 5033315152421. The next prime is 5033315152469. The reversal of 5033315152432 is 2342515133305.

It is a super-2 number, since 2×50333151524322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5033315152391 and 5033315152400.

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, 1002051073 + ... + 1002056095.

It is an arithmetic number, because the mean of its divisors is an integer number (70802468352).

Almost surely, 25033315152432 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 5033315152432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664197468160).

5033315152432 is an abundant number, since it is smaller than the sum of its proper divisors (6295079783888).

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

5033315152432 is a wasteful number, since it uses less digits than its factorization.

5033315152432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

The spelling of 5033315152432 in words is "five trillion, thirty-three billion, three hundred fifteen million, one hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 163 262 326 419 524 652 838 917 1048 1141 1304 1676 1834 2096 2282 2608 2933 3352 3668 4564 5023 5866 6704 7336 9128 10046 11732 14672 18256 20092 21353 23464 35161 40184 42706 46928 54889 68297 70322 80368 85412 109778 136594 140644 149471 170824 219556 273188 281288 298942 341648 384223 439112 478079 546376 562576 597884 658013 768446 818749 878224 956158 1092752 1195768 1316026 1536892 1637498 1912316 2104637 2391536 2632052 3073784 3274996 3824632 4209274 4606091 5264104 5731243 6147568 6549992 7649264 8418548 8946907 9212182 10528208 11462486 13099984 14732459 16837096 17893814 18424364 22924972 29464918 33674192 35787628 36848728 45849944 58929836 62628349 71575256 73697456 91699888 107256119 117859672 125256698 143150512 214512238 235719344 250513396 275707447 343055831 429024476 501026792 551414894 686111662 750792833 858048952 1002053584 1102829788 1372223324 1501585666 1716097904 1929952129 2205659576 2401390817 2744446648 3003171332 3859904258 4411319152 4802781634 5488893296 6006342664 7719808516 9605563268 12012685328 15439617032 19211126536 30879234064 38422253072 44940313861 89880627722 179761255444 314582197027 359522510888 629164394054 719045021776 1258328788108 2516657576216 5033315152432