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4269540864 = 29343127509
BaseRepresentation
bin1111111001111100…
…0000011000000000
3102000112220011000010
43332133000120000
532221000301424
61543355024520
7210542333001
oct37637003000
912015804003
104269540864
1118a1054276
129b1a3b140
13530716554
142c70791a8
1519ec69229
hexfe7c0600

4269540864 has 160 divisors (see below), whose sum is σ = 11753533440. Its totient is φ = 1376428032.

The previous prime is 4269540827. The next prime is 4269540887. The reversal of 4269540864 is 4680459624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

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, 8387842 + ... + 8388350.

It is an arithmetic number, because the mean of its divisors is an integer number (73459584).

Almost surely, 24269540864 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 4269540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876766720).

4269540864 is an abundant number, since it is smaller than the sum of its proper divisors (7483992576).

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

4269540864 is a wasteful number, since it uses less digits than its factorization.

4269540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 4269540864 is about 65341.7237605498. The cubic root of 4269540864 is about 1622.2846472534.

The spelling of 4269540864 in words is "four billion, two hundred sixty-nine million, five hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 127 128 129 172 192 254 256 258 344 381 384 508 509 512 516 688 762 768 1016 1018 1032 1376 1524 1527 1536 2032 2036 2064 2752 3048 3054 4064 4072 4128 5461 5504 6096 6108 8128 8144 8256 10922 11008 12192 12216 16256 16288 16383 16512 21844 21887 22016 24384 24432 32512 32576 32766 33024 43688 43774 48768 48864 64643 65024 65152 65532 65661 66048 87376 87548 97536 97728 129286 130304 131064 131322 174752 175096 193929 195072 195456 258572 260608 262128 262644 349504 350192 387858 390912 517144 524256 525288 699008 700384 775716 781824 1034288 1048512 1050576 1398016 1400768 1551432 2068576 2097024 2101152 2779649 2796032 2801536 3102864 4137152 4194048 4202304 5559298 5603072 6205728 8274304 8338947 8388096 8404608 11118596 11206144 12411456 16548608 16677894 16809216 22237192 24822912 33097216 33355788 33618432 44474384 49645824 66711576 88948768 99291648 133423152 177897536 266846304 355795072 533692608 711590144 1067385216 1423180288 2134770432 4269540864