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2070536812096 = 264141072
BaseRepresentation
bin11110001000010101100…
…111000111011001000000
321022221102021022011121011
4132020111213013121000
5232410424410441341
64223105205410304
7302406555341404
oct36102547073100
97287367264534
102070536812096
11729123062815
1229534a709994
13120334c825cc
14723008c1104
1538cd57c8b81
hex1e2159c7640

2070536812096 has 105 divisors (see below), whose sum is σ = 4251166578295. Its totient is φ = 1000578536960.

The previous prime is 2070536812073. The next prime is 2070536812109. The reversal of 2070536812096 is 6902186350702.

The square root of 2070536812096 is 1438936.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1690686469696 + 379850342400 = 1300264^2 + 616320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19350811275 + ... + 19350811381.

Almost surely, 22070536812096 is an apocalyptic number.

2070536812096 is the 1438936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070536812096

2070536812096 is an abundant number, since it is smaller than the sum of its proper divisors (2180629766199).

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

2070536812096 is an frugal number, since it uses more digits than its factorization.

2070536812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 2070536812096 by its sum of digits (49), we get a square (101456303792704 = 100725522).

The spelling of 2070536812096 in words is "two trillion, seventy billion, five hundred thirty-six million, eight hundred twelve thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 107 164 214 328 428 656 856 1312 1681 1712 2624 3362 3424 4387 6724 6848 8774 11449 13448 17548 22898 26896 35096 45796 53792 68921 70192 91592 107584 137842 140384 179867 183184 275684 280768 359734 366368 469409 551368 719468 732736 938818 1102736 1438936 1877636 2205472 2825761 2877872 3755272 4410944 5651522 5755744 7374547 7510544 11303044 11511488 14749094 15021088 19245769 22606088 29498188 30042176 38491538 45212176 58996376 76983076 90424352 117992752 153966152 180848704 235985504 302356427 307932304 471971008 604712854 615864608 789076529 1209425708 1231729216 1578153058 2418851416 3156306116 4837702832 6312612232 9675405664 12625224464 19350811328 25250448928 32352137689 50500897856 64704275378 129408550756 258817101512 517634203024 1035268406048 2070536812096