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5464394773440 = 263526892116801
BaseRepresentation
bin100111110000100011101…
…0011110011001111000000
3201100101120001210220221220
41033201013103303033000
51204012040030222230
615342150332115040
71102534540130331
oct117410723631700
921311501726856
105464394773440
111817489436289
12743052905a80
133083a07b2835
1414c699d56288
159721c5c2d10
hex4f8474f33c0

5464394773440 has 112 divisors (see below), whose sum is σ = 17355913614240. Its totient is φ = 1456629350400.

The previous prime is 5464394773427. The next prime is 5464394773553. The reversal of 5464394773440 is 443774934645.

It is a happy number.

It is a super-2 number, since 2×54643947734402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1523040 + ... + 3639840.

Almost surely, 25464394773440 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 5464394773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8677956807120).

5464394773440 is an abundant number, since it is smaller than the sum of its proper divisors (11891518840800).

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

5464394773440 is a wasteful number, since it uses less digits than its factorization.

5464394773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119510 (or 2119500 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 60.

The spelling of 5464394773440 in words is "five trillion, four hundred sixty-four billion, three hundred ninety-four million, seven hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2689 5378 8067 10756 13445 16134 21512 26890 32268 40335 43024 53780 64536 80670 86048 107560 129072 161340 172096 215120 258144 322680 430240 516288 645360 860480 1290720 2116801 2581440 4233602 6350403 8467204 10584005 12700806 16934408 21168010 25401612 31752015 33868816 42336020 50803224 63504030 67737632 84672040 101606448 127008060 135475264 169344080 203212896 254016120 338688160 406425792 508032240 677376320 1016064480 2032128960 5692077889 11384155778 17076233667 22768311556 28460389445 34152467334 45536623112 56920778890 68304934668 85381168335 91073246224 113841557780 136609869336 170762336670 182146492448 227683115560 273219738672 341524673340 364292984896 455366231120 546439477344 683049346680 910732462240 1092878954688 1366098693360 1821464924480 2732197386720 5464394773440