Search a number
-
+
31988804700 = 22352198396689
BaseRepresentation
bin11101110010101011…
…100110110001011100
310001120100120122112110
4131302223212301130
51011003113222300
622410115034020
72211466232166
oct356253466134
9101510518473
1031988804700
1112625934486
126248b9b910
13302a41c808
14179662b936
15c73529550
hex772ae6c5c

31988804700 has 144 divisors (see below), whose sum is σ = 97556256000. Its totient is φ = 8070543360.

The previous prime is 31988804621. The next prime is 31988804707. The reversal of 31988804700 is 740888913.

It is a super-2 number, since 2×319888047002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31988804700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31988804707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4778956 + ... + 4785644.

It is an arithmetic number, because the mean of its divisors is an integer number (677474000).

Almost surely, 231988804700 is an apocalyptic number.

31988804700 is a gapful number since it is divisible by the number (30) 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 31988804700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48778128000).

31988804700 is an abundant number, since it is smaller than the sum of its proper divisors (65567451300).

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

31988804700 is a wasteful number, since it uses less digits than its factorization.

31988804700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7564 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 31988804700 in words is "thirty-one billion, nine hundred eighty-eight million, eight hundred four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 839 950 1140 1425 1678 1900 2517 2850 3356 4195 5034 5700 6689 8390 10068 12585 13378 15941 16780 20067 20975 25170 26756 31882 33445 40134 41950 47823 50340 62925 63764 66890 79705 80268 83900 95646 100335 125850 127091 133780 159410 167225 191292 200670 239115 251700 254182 318820 334450 381273 398525 401340 478230 501675 508364 635455 668900 762546 797050 956460 1003350 1195575 1270910 1525092 1594100 1906365 2006700 2391150 2541820 3177275 3812730 4782300 5612071 6354550 7625460 9531825 11224142 12709100 16836213 19063650 22448284 28060355 33672426 38127300 56120710 67344852 84181065 106629349 112241420 140301775 168362130 213258698 280603550 319888047 336724260 420905325 426517396 533146745 561207100 639776094 841810650 1066293490 1279552188 1599440235 1683621300 2132586980 2665733725 3198880470 5331467450 6397760940 7997201175 10662934900 15994402350 31988804700