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20428921355184 = 24321731601512207
BaseRepresentation
bin1001010010100011110101…
…00110011011101110110000
32200022222121122122221111200
410221101322212123232300
510134201412331331214
6111240530015211200
74205640500260446
oct451217246335660
980288548587450
1020428921355184
116566947584671
12235b318516b00
13b525926a26a4
14508a9d4c8b96
1525660a83ed09
hex12947a99bbb0

20428921355184 has 120 divisors (see below), whose sum is σ = 57539113100352. Its totient is φ = 6766036377600.

The previous prime is 20428921355137. The next prime is 20428921355189. The reversal of 20428921355184 is 48155312982402.

20428921355184 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 8 + 9 + 2 + 1 + 3 + 551 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20428921355184.

It is not an unprimeable number, because it can be changed into a prime (20428921355189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39628009 + ... + 40140215.

Almost surely, 220428921355184 is an apocalyptic number.

20428921355184 is a gapful number since it is divisible by the number (24) 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 20428921355184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28769556550176).

20428921355184 is an abundant number, since it is smaller than the sum of its proper divisors (37110191745168).

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

20428921355184 is a wasteful number, since it uses less digits than its factorization.

20428921355184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513995 (or 513986 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 20428921355184 in words is "twenty trillion, four hundred twenty-eight billion, nine hundred twenty-one million, three hundred fifty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 1601 2076 2768 3114 3202 4152 4803 6228 6404 8304 9606 12456 12808 14409 19212 24912 25616 28818 38424 57636 76848 115272 230544 276973 512207 553946 830919 1024414 1107892 1536621 1661838 2048828 2215784 2492757 3073242 3323676 4097656 4431568 4609863 4985514 6146484 6647352 8195312 9219726 9971028 12292968 13294704 18439452 19942056 24585936 36878904 39884112 73757808 88611811 177223622 265835433 354447244 531670866 708894488 797506299 820043407 1063341732 1417788976 1595012598 1640086814 2126683464 2460130221 3190025196 3280173628 4253366928 4920260442 6380050392 6560347256 7380390663 9840520884 12760100784 13120694512 14760781326 19681041768 29521562652 39362083536 59043125304 118086250608 141867509411 283735018822 425602528233 567470037644 851205056466 1134940075288 1276807584699 1702410112932 2269880150576 2553615169398 3404820225864 5107230338796 6809640451728 10214460677592 20428921355184