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31428559968 = 2531330798179
BaseRepresentation
bin11101010001010010…
…011100010001100000
310000010022101021020120
4131101102130101200
51003331202404333
622234343040240
72161554231501
oct352122342140
9100108337216
1031428559968
111236866a303
126111440080
132c6b333260
141742072ba8
15c3e260db3
hex75149c460

31428559968 has 96 divisors (see below), whose sum is σ = 88885843200. Its totient is φ = 9666003456.

The previous prime is 31428559919. The next prime is 31428559979. The reversal of 31428559968 is 86995582413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×314285599682 (a number of 22 digits) contains 22 as substring.

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, 3838503 + ... + 3846681.

It is an arithmetic number, because the mean of its divisors is an integer number (925894200).

Almost surely, 231428559968 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 31428559968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44442921600).

31428559968 is an abundant number, since it is smaller than the sum of its proper divisors (57457283232).

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

31428559968 is a wasteful number, since it uses less digits than its factorization.

31428559968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11284 (or 11276 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The spelling of 31428559968 in words is "thirty-one billion, four hundred twenty-eight million, five hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3079 6158 8179 9237 12316 16358 18474 24537 24632 32716 36948 40027 49074 49264 65432 73896 80054 98148 98528 106327 120081 130864 147792 160108 196296 212654 240162 261728 295584 318981 320216 392592 425308 480324 637962 640432 785184 850616 960648 1275924 1280864 1701232 1921296 2551848 3402464 3842592 5103696 10207392 25183141 50366282 75549423 100732564 151098846 201465128 302197692 327380833 402930256 604395384 654761666 805860512 982142499 1208790768 1309523332 1964284998 2417581536 2619046664 3928569996 5238093328 7857139992 10476186656 15714279984 31428559968