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11398126464 = 27333789137
BaseRepresentation
bin10101001110110000…
…11001101110000000
31002102100120211002000
422213120121232000
5141320410021324
65123005224000
7552312322254
oct124730315600
932370524060
1011398126464
114919a4412a
122261262000
1310c856123a
147a1b08264
1546a9d29c9
hex2a7619b80

11398126464 has 128 divisors (see below), whose sum is σ = 34549888800. Its totient is φ = 3696648192.

The previous prime is 11398126393. The next prime is 11398126477. The reversal of 11398126464 is 46462189311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 83304 + ... + 172440.

Almost surely, 211398126464 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 11398126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17274944400).

11398126464 is an abundant number, since it is smaller than the sum of its proper divisors (23151762336).

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

11398126464 is an equidigital number, since it uses as much as digits as its factorization.

11398126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89197 (or 89179 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 11398126464 in words is "eleven billion, three hundred ninety-eight million, one hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 10656 14208 15984 21312 31968 42624 63936 89137 127872 178274 267411 356548 534822 713096 802233 1069644 1426192 1604466 2139288 2406699 2852384 3208932 3298069 4278576 4813398 5704768 6417864 6596138 8557152 9626796 9894207 11409536 12835728 13192276 17114304 19253592 19788414 25671456 26384552 29682621 34228608 38507184 39576828 51342912 52769104 59365242 77014368 79153656 89047863 102685824 105538208 118730484 154028736 158307312 178095726 211076416 237460968 308057472 316614624 356191452 422152832 474921936 633229248 712382904 949843872 1266458496 1424765808 1899687744 2849531616 3799375488 5699063232 11398126464