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20215511004 = 22313412127607
BaseRepresentation
bin10010110100111100…
…000011011111011100
31221011212001100202210
4102310330003133130
5312400132323004
613141544320420
71313650002603
oct226474033734
957155040683
1020215511004
118634146697
123b02173110
131ba2233040
14d9ab84a3a
157d4b3b089
hex4b4f037dc

20215511004 has 144 divisors (see below), whose sum is σ = 52563574784. Its totient is φ = 6010744320.

The previous prime is 20215510993. The next prime is 20215511011. The reversal of 20215511004 is 40011551202.

It is a super-3 number, since 3×202155110043 (a number of 32 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 33303669 + ... + 33304275.

Almost surely, 220215511004 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 20215511004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26281787392).

20215511004 is an abundant number, since it is smaller than the sum of its proper divisors (32348063780).

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

20215511004 is a wasteful number, since it uses less digits than its factorization.

20215511004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 20215511004 in words is "twenty billion, two hundred fifteen million, five hundred eleven thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 127 156 164 246 254 381 492 508 533 607 762 1066 1214 1524 1599 1651 1681 1821 2132 2428 3198 3302 3362 3642 4953 5043 5207 6396 6604 6724 7284 7891 9906 10086 10414 15621 15782 19812 20172 20828 21853 23673 24887 31242 31564 43706 47346 49774 62484 65559 67691 74661 77089 87412 94692 99548 131118 135382 149322 154178 203073 213487 231267 262236 270764 298644 308356 323531 406146 426974 462534 640461 647062 812292 853948 925068 970593 1002157 1020367 1280922 1294124 1941186 2004314 2040734 2561844 2775331 3006471 3061101 3160649 3882372 4008628 4081468 5550662 6012942 6122202 6321298 8325993 9481947 11101324 12025884 12244404 12642596 13264771 16651986 18963894 26529542 33303972 37927788 39794313 41088437 53059084 79588626 82176874 123265311 129586609 159177252 164353748 246530622 259173218 388759827 493061244 518346436 777519654 1555039308 1684625917 3369251834 5053877751 6738503668 10107755502 20215511004