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11358216464 = 247219017621
BaseRepresentation
bin10101001010000000…
…01010000100010000
31002022120111011211212
422211000022010100
5141230200411324
65115021555252
7551316150500
oct124500120420
932276434755
1011358216464
1148a9465161
12224ba15b28
1310c01c965a
1479a6b9a00
1546724c70e
hex2a500a110

11358216464 has 60 divisors (see below), whose sum is σ = 25616276748. Its totient is φ = 4864608000.

The previous prime is 11358216427. The next prime is 11358216469. The reversal of 11358216464 is 46461285311.

It can be written as a sum of positive squares in 2 ways, for example, as 5381689600 + 5976526864 = 73360^2 + 77308^2 .

It is not an unprimeable number, because it can be changed into a prime (11358216469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486574 + ... + 1494194.

Almost surely, 211358216464 is an apocalyptic number.

11358216464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11358216464 is an abundant number, since it is smaller than the sum of its proper divisors (14258060284).

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

11358216464 is a wasteful number, since it uses less digits than its factorization.

11358216464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9531 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The spelling of 11358216464 in words is "eleven billion, three hundred fifty-eight million, two hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1901 3802 7604 7621 13307 15208 15242 26614 30416 30484 53228 53347 60968 93149 106456 106694 121936 186298 212912 213388 372596 373429 426776 745192 746858 853552 1490384 1493716 2987432 5974864 14487521 28975042 57950084 101412647 115900168 202825294 231800336 405650588 709888529 811301176 1419777058 1622602352 2839554116 5679108232 11358216464