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11006464640514 = 2372967313427201
BaseRepresentation
bin1010000000101010010001…
…1010100100011000000010
31102222012121110000102221120
42200022210122210120002
52420312214421444024
635224144451133110
72214122311545630
oct240124432443002
942865543012846
1011006464640514
1135638a7396022
1212991628a4196
1361ab9c844625
142a0a03d74350
15141483ec3479
hexa02a46a4602

11006464640514 has 64 divisors (see below), whose sum is σ = 26063810346240. Its totient is φ = 3031754342400.

The previous prime is 11006464640497. The next prime is 11006464640519. The reversal of 11006464640514 is 41504646460011.

It is a super-2 number, since 2×110064646405142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11006464640519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5893887 + ... + 7533314.

It is an arithmetic number, because the mean of its divisors is an integer number (407247036660).

Almost surely, 211006464640514 is an apocalyptic number.

11006464640514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11006464640514 is an abundant number, since it is smaller than the sum of its proper divisors (15057345705726).

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

11006464640514 is a wasteful number, since it uses less digits than its factorization.

11006464640514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13427915.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 11006464640514 in words is "eleven trillion, six billion, four hundred sixty-four million, six hundred forty thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 673 1218 1346 2019 4038 4711 9422 14133 19517 28266 39034 58551 117102 136619 273238 409857 819714 13427201 26854402 40281603 80563206 93990407 187980814 281971221 389388829 563942442 778777658 1168166487 2336332974 2725721803 5451443606 8177165409 9036506273 16354330818 18073012546 27109518819 54219037638 63255543911 126511087822 189766631733 262058681917 379533263466 524117363834 786176045751 1572352091502 1834410773419 3668821546838 5503232320257 11006464640514