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2051152746760 = 2351329350926449
BaseRepresentation
bin11101110110010010001…
…110110001100100001000
321021002101100202121212101
4131312102032301210020
5232101230100344020
64210141521523144
7301122322451365
oct35662216614410
97232340677771
102051152746760
11720986285607
1229163aaa34b4
1311b566092470
14713c232d46c
153854db7700a
hex1dd923b1908

2051152746760 has 128 divisors (see below), whose sum is σ = 4997050380000. Its totient is φ = 753252581376.

The previous prime is 2051152746757. The next prime is 2051152746791. The reversal of 2051152746760 is 676472511502.

It can be written as a sum of positive squares in 16 ways, for example, as 228290928804 + 1822861817956 = 477798^2 + 1350134^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2051152746760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77538016 + ... + 77564464.

Almost surely, 22051152746760 is an apocalyptic number.

2051152746760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051152746760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498525190000).

2051152746760 is an abundant number, since it is smaller than the sum of its proper divisors (2945897633240).

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

2051152746760 is a wasteful number, since it uses less digits than its factorization.

2051152746760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27275 (or 27271 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 2051152746760 in words is "two trillion, fifty-one billion, one hundred fifty-two million, seven hundred forty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 293 509 520 586 1018 1172 1465 2036 2344 2545 2930 3809 4072 5090 5860 6617 7618 10180 11720 13234 15236 19045 20360 26449 26468 30472 33085 38090 52898 52936 66170 76180 105796 132245 132340 149137 152360 211592 264490 264680 298274 343837 528980 596548 687674 745685 1057960 1193096 1375348 1491370 1719185 1938781 2750696 2982740 3438370 3877562 5965480 6876740 7749557 7755124 9693905 13462541 13753480 15499114 15510248 19387810 26925082 30998228 38747785 38775620 53850164 61996456 67312705 77495570 77551240 100744241 107700328 134625410 154991140 175013033 201488482 269250820 309982280 350026066 402976964 503721205 538501640 700052132 805953928 875065165 1007442410 1400104264 1750130330 2014884820 3500260660 3944524513 4029769640 7000521320 7889049026 15778098052 19722622565 31556196104 39445245130 51278818669 78890490260 102557637338 157780980520 205115274676 256394093345 410230549352 512788186690 1025576373380 2051152746760