Search a number
-
+
83190833761168 = 24737131153244337
BaseRepresentation
bin10010111010100101100000…
…000110000100101110010000
3101220112222002020111210202101
4102322211200012010232100
541400444311420324133
6452533201425530144
723344224261435160
oct2272454006045620
9356488066453671
1083190833761168
1124564041972121
1293b6b35aa3954
133755b28967913
14167865a4425a0
15993eb7a3937d
hex4ba960184b90

83190833761168 has 80 divisors (see below), whose sum is σ = 190631052653184. Its totient is φ = 34424807639040.

The previous prime is 83190833761141. The next prime is 83190833761171. The reversal of 83190833761168 is 86116733809138.

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, 76079305 + ... + 77165032.

Almost surely, 283190833761168 is an apocalyptic number.

It is an amenable number.

83190833761168 is an abundant number, since it is smaller than the sum of its proper divisors (107440218892016).

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

83190833761168 is a wasteful number, since it uses less digits than its factorization.

83190833761168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153244520 (or 153244514 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 83190833761168 in words is "eighty-three trillion, one hundred ninety billion, eight hundred thirty-three million, seven hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 131 148 259 262 296 518 524 592 917 1036 1048 1834 2072 2096 3668 4144 4847 7336 9694 14672 19388 33929 38776 67858 77552 135716 271432 542864 153244337 306488674 612977348 1072710359 1225954696 2145420718 2451909392 4290841436 5670040469 8581682872 11340080938 17163365744 20075008147 22680161876 39690283283 40150016294 45360323752 79380566566 80300032588 90720647504 140525057029 158761133132 160600065176 281050114058 317522266264 321200130352 562100228116 635044532528 742775301439 1124200456232 1485550602878 2248400912464 2971101205756 5199427110073 5942202411512 10398854220146 11884404823024 20797708440292 41595416880584 83190833761168