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4247723664 = 2432311078893
BaseRepresentation
bin1111110100101111…
…0001111010010000
3101222000211201102200
43331023301322100
532144404124124
61541255243200
7210156025002
oct37513617220
911860751380
104247723664
11188a802728
129a6679500
13529047c72
142c41da372
1519cda9bc9
hexfd2f1e90

4247723664 has 120 divisors (see below), whose sum is σ = 12387278592. Its totient is φ = 1357274880.

The previous prime is 4247723639. The next prime is 4247723677. The reversal of 4247723664 is 4663277424.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473202 + ... + 482094.

Almost surely, 24247723664 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 4247723664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193639296).

4247723664 is an abundant number, since it is smaller than the sum of its proper divisors (8139554928).

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

4247723664 is a wasteful number, since it uses less digits than its factorization.

4247723664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9036 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 4247723664 is about 65174.5630134948. The cubic root of 4247723664 is about 1619.5166550714.

The spelling of 4247723664 in words is "four billion, two hundred forty-seven million, seven hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 107 124 144 186 214 248 279 321 372 428 496 558 642 744 856 963 1116 1284 1488 1712 1926 2232 2568 3317 3852 4464 5136 6634 7704 8893 9951 13268 15408 17786 19902 26536 26679 29853 35572 39804 53072 53358 59706 71144 79608 80037 106716 119412 142288 159216 160074 213432 238824 275683 320148 426864 477648 551366 640296 827049 951551 1102732 1280592 1654098 1903102 2205464 2481147 2854653 3308196 3806204 4410928 4962294 5709306 6616392 7612408 8563959 9924588 11418612 13232784 15224816 17127918 19849176 22837224 29498081 34255836 39698352 45674448 58996162 68511672 88494243 117992324 137023344 176988486 235984648 265482729 353976972 471969296 530965458 707953944 1061930916 1415907888 2123861832 4247723664