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7666053136 = 2472532592
BaseRepresentation
bin1110010001110111…
…01011000000010000
3201210021000211220221
413020323223000100
5111200002200021
63304410042424
7360654243100
oct71073530020
921707024827
107666053136
113284318205
12159b419414
139522baa21
1452a1b9200
152ed033241
hex1c8eeb010

7666053136 has 135 divisors (see below), whose sum is σ = 17913639261. Its totient is φ = 3168826752.

The previous prime is 7666053107. The next prime is 7666053137. The reversal of 7666053136 is 6313506667.

The square root of 7666053136 is 87556.

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., 5526435600 + 2139617536 = 74340^2 + 46256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7666053092 and 7666053101.

It is not an unprimeable number, because it can be changed into a prime (7666053137) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129933075 + ... + 129933133.

Almost surely, 27666053136 is an apocalyptic number.

7666053136 is the 87556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7666053136

7666053136 is an abundant number, since it is smaller than the sum of its proper divisors (10247586125).

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

7666053136 is an equidigital number, since it uses as much as digits as its factorization.

7666053136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The cubic root of 7666053136 is about 1971.7746328532.

The spelling of 7666053136 in words is "seven billion, six hundred sixty-six million, fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 59 98 106 112 118 196 212 236 371 392 413 424 472 742 784 826 848 944 1484 1652 2597 2809 2891 2968 3127 3304 3481 5194 5618 5782 5936 6254 6608 6962 10388 11236 11564 12508 13924 19663 20776 21889 22472 23128 24367 25016 27848 39326 41552 43778 44944 46256 48734 50032 55696 78652 87556 97468 137641 153223 157304 165731 170569 175112 184493 194936 275282 306446 314608 331462 341138 350224 368986 389872 550564 612892 662924 682276 737972 1101128 1160117 1225784 1291451 1325848 1364552 1475944 2202256 2320234 2451568 2582902 2651696 2729104 2951888 4640468 5165804 8120819 9040157 9280936 9778129 10331608 16241638 18080314 18561872 19556258 20663216 32483276 36160628 39112516 64966552 68446903 72321256 78225032 129933104 136893806 144642512 156450064 273787612 479128321 547575224 958256642 1095150448 1916513284 3833026568 7666053136