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69719961623104 = 26132802872
BaseRepresentation
bin11111101101000111100011…
…00010111101101001000000
3100010212011102000000021002201
433312203301202331221000
533114242440133414404
6404140524101122544
720454046433506312
oct1766436142755100
9303764360007081
1069719961623104
1120240084816801
1279a02420b9454
132cb9744636c00
14133066d8997b2
1580d899a21ca4
hex3f68f18bda40

69719961623104 has 63 divisors (see below), whose sum is σ = 149813407031337. Its totient is φ = 32178043033344.

The previous prime is 69719961623101. The next prime is 69719961623153. The reversal of 69719961623104 is 40132616991796.

The square root of 69719961623104 is 8349848.

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., 10313603790400 + 59406357832704 = 3211480^2 + 7707552^2 .

It is a super-2 number, since 2×697199616231042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (69719961623101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 868344049 + ... + 868424335.

It is an arithmetic number, because the mean of its divisors is an integer number (2377990587799).

Almost surely, 269719961623104 is an apocalyptic number.

69719961623104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

69719961623104 is the 8349848-th square number.

It is an amenable number.

69719961623104 is an abundant number, since it is smaller than the sum of its proper divisors (80093445408233).

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

69719961623104 is an frugal number, since it uses more digits than its factorization.

69719961623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160612 (or 80302 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 64.

69719961623104 divided by its sum of digits (64) gives a square (1089374400361 = 10437312).

The spelling of 69719961623104 in words is "sixty-nine trillion, seven hundred nineteen billion, nine hundred sixty-one million, six hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 80287 160574 321148 642296 1043731 1284592 2087462 2569184 4174924 5138368 8349848 13568503 16699696 27137006 33399392 54274012 66798784 108548024 217096048 434192096 868384192 6446002369 12892004738 25784009476 51568018952 83798030797 103136037904 167596061594 206272075808 335192123188 412544151616 670384246376 1089374400361 1340768492752 2178748800722 2681536985504 4357497601444 5363073971008 8714995202888 17429990405776 34859980811552 69719961623104