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5713832448 = 29333711171
BaseRepresentation
bin1010101001001001…
…00010101000000000
3112202012120202121000
411110210202220000
543200220114243
62342551132000
7261410526432
oct52444425000
915665522530
105713832448
112472344985
121135674000
13700a0205c
143c2bda652
1523695c5d3
hex154922a00

5713832448 has 160 divisors (see below), whose sum is σ = 17372013120. Its totient is φ = 1852968960.

The previous prime is 5713832419. The next prime is 5713832459. The reversal of 5713832448 is 8442383175.

5713832448 is a `hidden beast` number, since 571 + 3 + 8 + 32 + 4 + 48 = 666.

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, 505903 + ... + 517073.

It is an arithmetic number, because the mean of its divisors is an integer number (108575082).

Almost surely, 25713832448 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 5713832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686006560).

5713832448 is an abundant number, since it is smaller than the sum of its proper divisors (11658180672).

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

5713832448 is a wasteful number, since it uses less digits than its factorization.

5713832448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235 (or 11213 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5713832448 is about 75589.8964677158. The cubic root of 5713832448 is about 1787.7597983708.

The spelling of 5713832448 in words is "five billion, seven hundred thirteen million, eight hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 512 576 592 666 768 864 888 999 1152 1184 1332 1536 1728 1776 1998 2304 2368 2664 3456 3552 3996 4608 4736 5328 6912 7104 7992 9472 10656 11171 13824 14208 15984 18944 21312 22342 28416 31968 33513 42624 44684 56832 63936 67026 85248 89368 100539 127872 134052 170496 178736 201078 255744 268104 301617 357472 402156 413327 511488 536208 603234 714944 804312 826654 1072416 1206468 1239981 1429888 1608624 1653308 2144832 2412936 2479962 2859776 3217248 3306616 3719943 4289664 4825872 4959924 5719552 6434496 6613232 7439886 8579328 9651744 9919848 11159829 12868992 13226464 14879772 17158656 19303488 19839696 22319658 25737984 26452928 29759544 38606976 39679392 44639316 51475968 52905856 59519088 77213952 79358784 89278632 105811712 119038176 154427904 158717568 178557264 211623424 238076352 317435136 357114528 476152704 634870272 714229056 952305408 1428458112 1904610816 2856916224 5713832448