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4542468720 = 2435234120071
BaseRepresentation
bin1000011101100000…
…01001001001110000
3102201120110022122020
410032300021021300
533300332444340
62030424511440
7220365230016
oct41660111160
912646408566
104542468720
111a21117a89
12a6931b580
13575125c1a
143114028b6
151b8bcb9d0
hex10ec09270

4542468720 has 160 divisors (see below), whose sum is σ = 15053036544. Its totient is φ = 1130342400.

The previous prime is 4542468673. The next prime is 4542468739. The reversal of 4542468720 is 278642454.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216285 + ... + 236355.

Almost surely, 24542468720 is an apocalyptic number.

4542468720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4542468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526518272).

4542468720 is an abundant number, since it is smaller than the sum of its proper divisors (10510567824).

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

4542468720 is a wasteful number, since it uses less digits than its factorization.

4542468720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20151 (or 20145 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 4542468720 is about 67397.8391345004. The cubic root of 4542468720 is about 1656.1410239536.

The spelling of 4542468720 in words is "four billion, five hundred forty-two million, four hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 41 46 48 60 69 80 82 92 115 120 123 138 164 184 205 230 240 246 276 328 345 368 410 460 492 552 615 656 690 820 920 943 984 1104 1230 1380 1640 1840 1886 1968 2460 2760 2829 3280 3772 4715 4920 5520 5658 7544 9430 9840 11316 14145 15088 18860 20071 22632 28290 37720 40142 45264 56580 60213 75440 80284 100355 113160 120426 160568 200710 226320 240852 301065 321136 401420 461633 481704 602130 802840 822911 923266 963408 1204260 1384899 1605680 1645822 1846532 2308165 2408520 2468733 2769798 3291644 3693064 4114555 4616330 4817040 4937466 5539596 6583288 6924495 7386128 8229110 9232660 9874932 11079192 12343665 13166576 13848990 16458220 18465320 18926953 19749864 22158384 24687330 27697980 32916440 36930640 37853906 39499728 49374660 55395960 56780859 65832880 75707812 94634765 98749320 110791920 113561718 151415624 189269530 197498640 227123436 283904295 302831248 378539060 454246872 567808590 757078120 908493744 1135617180 1514156240 2271234360 4542468720