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19111403536 = 241721921072
BaseRepresentation
bin10001110011001000…
…001110000000010000
31211022220110220001121
4101303020032000100
5303120004403121
612440223412024
71244412151441
oct216310160020
954286426047
1019111403536
118117986385
123854454014
131a57574904
14cd42972c8
1576cc43141
hex47320e010

19111403536 has 135 divisors (see below), whose sum is σ = 41905416189. Its totient is φ = 8440625664.

The previous prime is 19111403473. The next prime is 19111403537. The reversal of 19111403536 is 63530411191.

The square root of 19111403536 is 138244.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14879120400 + 4232283136 = 121980^2 + 65056^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19111403537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178611195 + ... + 178611301.

Almost surely, 219111403536 is an apocalyptic number.

19111403536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19111403536 is the 138244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19111403536

19111403536 is an abundant number, since it is smaller than the sum of its proper divisors (22794012653).

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

19111403536 is a wasteful number, since it uses less digits than its factorization.

19111403536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 19111403536 in words is "nineteen billion, one hundred eleven million, four hundred three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 107 136 152 214 272 289 304 323 361 428 578 646 722 856 1156 1292 1444 1712 1819 2033 2312 2584 2888 3638 4066 4624 5168 5491 5776 6137 7276 8132 10982 11449 12274 14552 16264 21964 22898 24548 29104 30923 32528 34561 38627 43928 45796 49096 61846 69122 77254 87856 91592 98192 104329 123692 138244 154508 183184 194633 208658 217531 247384 276488 309016 389266 417316 435062 494768 552976 587537 618032 656659 778532 834632 870124 1175074 1313318 1557064 1669264 1740248 2350148 2626636 3114128 3308761 3480496 3698027 4133089 4700296 5253272 6617522 7396054 8266178 9400592 10506544 11163203 13235044 14792108 16532356 22326406 26470088 29584216 33064712 44652812 52940176 59168432 62866459 66129424 70262513 89305624 125732918 140525026 178611248 251465836 281050052 502931672 562100104 1005863344 1124200208 1194462721 2388925442 4777850884 9555701768 19111403536