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5855101440 = 29353124593
BaseRepresentation
bin1010111001111110…
…11100001000000000
3120010001101222012220
411130333130020000
543442401221230
62404555051040
7265044353406
oct53477341000
916101358186
105855101440
112535063411
121174a40a80
13724064b86
143d7891476
15244064d10
hex15cfdc200

5855101440 has 160 divisors (see below), whose sum is σ = 19322620416. Its totient is φ = 1510932480.

The previous prime is 5855101433. The next prime is 5855101451. The reversal of 5855101440 is 441015585.

It is a tau number, because it is divible by the number of its divisors (160).

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, 225784 + ... + 250376.

Almost surely, 25855101440 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 5855101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661310208).

5855101440 is an abundant number, since it is smaller than the sum of its proper divisors (13467518976).

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

5855101440 is a wasteful number, since it uses less digits than its factorization.

5855101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24650 (or 24634 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The square root of 5855101440 is about 76518.6345931499. The cubic root of 5855101440 is about 1802.3735601003.

The spelling of 5855101440 in words is "five billion, eight hundred fifty-five million, one hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 512 620 640 744 768 930 960 992 1240 1280 1488 1536 1860 1920 1984 2480 2560 2976 3720 3840 3968 4960 5952 7440 7680 7936 9920 11904 14880 15872 19840 23808 24593 29760 39680 47616 49186 59520 73779 79360 98372 119040 122965 147558 196744 238080 245930 295116 368895 393488 491860 590232 737790 762383 786976 983720 1180464 1475580 1524766 1573952 1967440 2287149 2360928 2951160 3049532 3147904 3811915 3934880 4574298 4721856 5902320 6099064 6295808 7623830 7869760 9148596 9443712 11435745 11804640 12198128 12591616 15247660 15739520 18297192 18887424 22871490 23609280 24396256 30495320 31479040 36594384 37774848 45742980 47218560 48792512 60990640 62958080 73188768 91485960 94437120 97585024 121981280 146377536 182971920 188874240 195170048 243962560 292755072 365943840 390340096 487925120 585510144 731887680 975850240 1171020288 1463775360 1951700480 2927550720 5855101440