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5354791632 = 243313194621
BaseRepresentation
bin1001111110010101…
…11010001011010000
3111211011222121012000
410333022322023100
541431311313012
62243203434000
7246460656261
oct47712721320
914734877160
105354791632
1122a8705233
121055385900
13674501a78
1438b258968
15215189ddc
hex13f2ba2d0

5354791632 has 80 divisors (see below), whose sum is σ = 15487728960. Its totient is φ = 1771286400.

The previous prime is 5354791601. The next prime is 5354791633. The reversal of 5354791632 is 2361974535.

5354791632 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 7 + 9 + 1 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5354791633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9282 + ... + 103902.

It is an arithmetic number, because the mean of its divisors is an integer number (193596612).

Almost surely, 25354791632 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 5354791632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743864480).

5354791632 is an abundant number, since it is smaller than the sum of its proper divisors (10132937328).

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

5354791632 is a wasteful number, since it uses less digits than its factorization.

5354791632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94769 (or 94757 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 5354791632 is about 73176.4417828580. The cubic root of 5354791632 is about 1749.5009877338.

The spelling of 5354791632 in words is "five billion, three hundred fifty-four million, seven hundred ninety-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 9432 14148 18864 28296 56592 94621 189242 283863 378484 567726 756968 851589 1135452 1513936 1703178 2270904 2554767 3406356 4541808 5109534 6812712 10219068 12395351 13625424 20438136 24790702 37186053 40876272 49581404 74372106 99162808 111558159 148744212 198325616 223116318 297488424 334674477 446232636 594976848 669348954 892465272 1338697908 1784930544 2677395816 5354791632