Search a number
-
+
20892888030 = 235733165497
BaseRepresentation
bin10011011101010100…
…000010101111011110
31222221001122200100210
4103131110002233132
5320242034404110
613333103033250
71336513422000
oct233524025736
958831580323
1020892888030
118951544013
124070b9b826
131c7c681151
141022b10370
15824340520
hex4dd502bde

20892888030 has 128 divisors (see below), whose sum is σ = 60362956800. Its totient is φ = 4621397760.

The previous prime is 20892888011. The next prime is 20892888041. The reversal of 20892888030 is 3088829802.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286242 + ... + 351738.

It is an arithmetic number, because the mean of its divisors is an integer number (471585600).

Almost surely, 220892888030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20892888030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30181478400).

20892888030 is an abundant number, since it is smaller than the sum of its proper divisors (39470068770).

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

20892888030 is a wasteful number, since it uses less digits than its factorization.

20892888030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65559 (or 65545 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 20892888030 in words is "twenty billion, eight hundred ninety-two million, eight hundred eighty-eight thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 343 434 465 490 651 686 735 930 1029 1085 1302 1470 1519 1715 2058 2170 3038 3255 3430 4557 5145 6510 7595 9114 10290 10633 15190 21266 22785 31899 45570 53165 63798 65497 106330 130994 159495 196491 318990 327485 392982 458479 654970 916958 982455 1375437 1964910 2030407 2292395 2750874 3209353 4060814 4584790 6091221 6418706 6877185 9628059 10152035 12182442 13754370 14212849 16046765 19256118 20304070 22465471 28425698 30456105 32093530 42638547 44930942 48140295 60912210 67396413 71064245 85277094 96280590 99489943 112327355 134792826 142128490 198979886 213192735 224654710 298469829 336982065 426385470 497449715 596939658 673964130 696429601 994899430 1392859202 1492349145 2089288803 2984698290 3482148005 4178577606 6964296010 10446444015 20892888030