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668021790276 = 223417226712
BaseRepresentation
bin10011011100010010011…
…00111001011001000100
32100212021120212000210000
421232021030321121010
541421102034242101
61230515053201300
766156126346251
oct11561114713104
92325246760700
10668021790276
112383409813a5
12a9573190230
134acc02b9a59
1424492274428
151259b972486
hex9b89339644

668021790276 has 135 divisors (see below), whose sum is σ = 1855804350477. Its totient is φ = 209497000320.

The previous prime is 668021790257. The next prime is 668021790287. The reversal of 668021790276 is 672097120866.

The square root of 668021790276 is 817326.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 520086168900 + 147935621376 = 721170^2 + 384624^2 .

It is a super-2 number, since 2×6680217902762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 250100421 + ... + 250103091.

Almost surely, 2668021790276 is an apocalyptic number.

668021790276 is the 817326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668021790276

668021790276 is an abundant number, since it is smaller than the sum of its proper divisors (1187782560201).

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

668021790276 is an equidigital number, since it uses as much as digits as its factorization.

668021790276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 668021790276 in words is "six hundred sixty-eight billion, twenty-one million, seven hundred ninety thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2671 2754 3468 5202 5342 5508 7803 8013 10404 10684 15606 16026 23409 24039 31212 32052 45407 46818 48078 72117 90814 93636 96156 136221 144234 181628 216351 272442 288468 408663 432702 544884 771919 817326 865404 1225989 1543838 1634652 2315757 2451978 3087676 3677967 4631514 4903956 6947271 7134241 7355934 9263028 13894542 14268482 14711868 20841813 21402723 27789084 28536964 41683626 42805446 62525439 64208169 83367252 85610892 121282097 125050878 128416338 192624507 242564194 250101756 256832676 363846291 385249014 485128388 577873521 727692582 770498028 1091538873 1155747042 1455385164 2061795649 2183077746 2311494084 3274616619 4123591298 4366155492 6185386947 6549233238 8247182596 9823849857 12370773894 13098466476 18556160841 19647699714 24741547788 37112321682 39295399428 55668482523 74224643364 111336965046 167005447569 222673930092 334010895138 668021790276