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31631606104 = 2371783974127
BaseRepresentation
bin11101011101011001…
…000000000101011000
310000122110110002011211
4131131121000011120
51004240142343404
622310435032504
72166601133650
oct353531000530
9100573402154
1031631606104
111246224292a
12616943b734
132ca1415bb7
141761009360
15c51ebcb04
hex75d640158

31631606104 has 128 divisors (see below), whose sum is σ = 73400463360. Its totient is φ = 12472270848.

The previous prime is 31631606099. The next prime is 31631606107. The reversal of 31631606104 is 40160613613.

It is a super-2 number, since 2×316316061042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31631606107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7662489 + ... + 7666615.

It is an arithmetic number, because the mean of its divisors is an integer number (573441120).

Almost surely, 231631606104 is an apocalyptic number.

31631606104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31631606104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36700231680).

31631606104 is an abundant number, since it is smaller than the sum of its proper divisors (41768857256).

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

31631606104 is a wasteful number, since it uses less digits than its factorization.

31631606104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 31631606104 in words is "thirty-one billion, six hundred thirty-one million, six hundred six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 83 97 119 136 166 194 238 332 388 476 581 664 679 776 952 1162 1358 1411 1649 2324 2716 2822 3298 4127 4648 5432 5644 6596 8051 8254 9877 11288 11543 13192 16102 16508 19754 23086 28889 32204 33016 39508 46172 56357 57778 64408 70159 79016 92344 112714 115556 136867 140318 225428 231112 273734 280636 342541 400319 450856 491113 547468 561272 685082 800638 958069 982226 1094936 1370164 1601276 1916138 1964452 2397787 2740328 2802233 3202552 3832276 3928904 4795574 5604466 5823197 6805423 7664552 9591148 11208932 11646394 13610846 19182296 22417864 23292788 27221692 33226477 40762379 46585576 47637961 54443384 66452954 81524758 95275922 132905908 163049516 190551844 232585339 265811816 326099032 381103688 465170678 564850109 930341356 1129700218 1860682712 2259400436 3953950763 4518800872 7907901526 15815803052 31631606104