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16913356464 = 24319311075591
BaseRepresentation
bin11111100000001110…
…10101011010110000
31121122201110112022210
433300013111122300
5234114304401324
611434143532120
71136062105104
oct176007253260
947581415283
1016913356464
11719a170054
1233402ba040
131797078144
14b663a7904
1568ecaed29
hex3f01d56b0

16913356464 has 160 divisors (see below), whose sum is σ = 47928360960. Its totient is φ = 5119545600.

The previous prime is 16913356463. The next prime is 16913356469. The reversal of 16913356464 is 46465331961.

16913356464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (16913356463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3022309 + ... + 3027899.

It is an arithmetic number, because the mean of its divisors is an integer number (299552256).

Almost surely, 216913356464 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 16913356464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964180480).

16913356464 is an abundant number, since it is smaller than the sum of its proper divisors (31015004496).

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

16913356464 is a wasteful number, since it uses less digits than its factorization.

16913356464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5753 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The spelling of 16913356464 in words is "sixteen billion, nine hundred thirteen million, three hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 107 114 124 152 186 214 228 248 304 321 372 428 456 496 589 642 744 856 912 1178 1284 1488 1712 1767 2033 2356 2568 3317 3534 4066 4712 5136 5591 6099 6634 7068 8132 9424 9951 11182 12198 13268 14136 16264 16773 19902 22364 24396 26536 28272 32528 33546 39804 44728 48792 53072 63023 67092 79608 89456 97584 106229 126046 134184 159216 173321 189069 212458 252092 268368 318687 346642 378138 424916 504184 519963 598237 637374 693284 756276 849832 1008368 1039926 1196474 1274748 1386568 1512552 1699664 1794711 2079852 2392948 2549496 2773136 3025104 3293099 3589422 4159704 4785896 5098992 6586198 7178844 8319408 9571792 9879297 11366503 13172396 14357688 18545347 19758594 22733006 26344792 28715376 34099509 37090694 39517188 45466012 52689584 55636041 68199018 74181388 79034376 90932024 111272082 136398036 148362776 158068752 181864048 222544164 272796072 296725552 352361593 445088328 545592144 704723186 890176656 1057084779 1409446372 2114169558 2818892744 4228339116 5637785488 8456678232 16913356464