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69806413952 = 271141932
BaseRepresentation
bin100000100000011001…
…0010101100010000000
320200011221002020201222
41001000302111202000
52120430420221302
652022453414212
75020603504562
oct1010062254200
9220157066658
1069806413952
11276719a0000
121164203a368
1367762c78b2
143543023332
151c38621da2
hex1040c95880

69806413952 has 120 divisors (see below), whose sum is σ = 153769976325. Its totient is φ = 31565783040.

The previous prime is 69806413951. The next prime is 69806413961. The reversal of 69806413952 is 25931460896.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 64813013056 + 4993400896 = 254584^2 + 70664^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=186824.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 69806413894 and 69806413903.

It is not an unprimeable number, because it can be changed into a prime (69806413951) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 361691168 + ... + 361691360.

Almost surely, 269806413952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69806413952

69806413952 is an abundant number, since it is smaller than the sum of its proper divisors (83963562373).

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

69806413952 is an frugal number, since it uses more digits than its factorization.

69806413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 69806413952 in words is "sixty-nine billion, eight hundred six million, four hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 193 242 352 386 484 704 772 968 1331 1408 1544 1936 2123 2662 3088 3872 4246 5324 6176 7744 8492 10648 12352 14641 15488 16984 21296 23353 24704 29282 33968 37249 42592 46706 58564 67936 74498 85184 93412 117128 135872 148996 170368 186824 234256 256883 271744 297992 373648 409739 468512 513766 595984 747296 819478 937024 1027532 1191968 1494592 1638956 1874048 2055064 2383936 2825713 2989184 3277912 4110128 4507129 4767872 5651426 6555824 8220256 9014258 11302852 13111648 16440512 18028516 22605704 26223296 32881024 36057032 45211408 49578419 52446592 72114064 90422816 99156838 144228128 180845632 198313676 288456256 361691264 396627352 545362609 576912512 793254704 1090725218 1586509408 2181450436 3173018816 4362900872 6346037632 8725801744 17451603488 34903206976 69806413952