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52912880784 = 24322926612
BaseRepresentation
bin110001010001110110…
…100111110010010000
312001120120220211212100
4301101312213302100
51331331144141114
640150254400400
73552142031361
oct612166476220
9161516824770
1052912880784
1120492a3a545
12a308500100
134cb33a061a
1427bd539b68
15159a47a909
hexc51da7c90

52912880784 has 135 divisors (see below), whose sum is σ = 153597321579. Its totient is φ = 17003669760.

The previous prime is 52912880777. The next prime is 52912880791. The reversal of 52912880784 is 48708821925.

The square root of 52912880784 is 230028.

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

52912880784 is a `hidden beast` number, since 5 + 291 + 288 + 0 + 78 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (52912880777) and next prime (52912880791).

It can be written as a sum of positive squares in 4 ways, for example, as 5841239184 + 47071641600 = 76428^2 + 216960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52912880784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80049414 + ... + 80050074.

Almost surely, 252912880784 is an apocalyptic number.

52912880784 is the 230028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52912880784

52912880784 is an abundant number, since it is smaller than the sum of its proper divisors (100684440795).

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

52912880784 is an equidigital number, since it uses as much as digits as its factorization.

52912880784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 52912880784 in words is "fifty-two billion, nine hundred twelve million, eight hundred eighty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 661 696 841 1044 1322 1392 1682 1983 2088 2523 2644 3364 3966 4176 5046 5288 5949 6728 7569 7932 10092 10576 11898 13456 15138 15864 19169 20184 23796 30276 31728 38338 40368 47592 57507 60552 76676 95184 115014 121104 153352 172521 230028 306704 345042 436921 460056 555901 690084 873842 920112 1111802 1310763 1380168 1667703 1747684 2223604 2621526 2760336 3335406 3495368 3932289 4447208 5003109 5243052 6670812 6990736 7864578 8894416 10006218 10486104 12670709 13341624 15729156 20012436 20972208 25341418 26683248 31458312 38012127 40024872 50682836 62916624 76024254 80049744 101365672 114036381 152048508 202731344 228072762 304097016 367450561 456145524 608194032 734901122 912291048 1102351683 1469802244 1824582096 2204703366 2939604488 3307055049 4409406732 5879208976 6614110098 8818813464 13228220196 17637626928 26456440392 52912880784