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36421985424 = 24311227722639
BaseRepresentation
bin100001111010111010…
…110110010010010000
310111000022101120020010
4201322322312102100
51044043012013144
624422041314520
72426366524266
oct417272662220
9114008346203
1036421985424
11144a0296800
127085795a40
1335859cc486
141a97302436
15e328195b9
hex87aeb6490

36421985424 has 120 divisors (see below), whose sum is σ = 103799328640. Its totient is φ = 10996634880.

The previous prime is 36421985329. The next prime is 36421985429. The reversal of 36421985424 is 42458912463.

It is a super-2 number, since 2×364219854242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (36421985429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597497 + ... + 1620135.

Almost surely, 236421985424 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 36421985424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51899664320).

36421985424 is an abundant number, since it is smaller than the sum of its proper divisors (67377343216).

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

36421985424 is a wasteful number, since it uses less digits than its factorization.

36421985424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22949 (or 22932 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 36421985424 in words is "thirty-six billion, four hundred twenty-one million, nine hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 277 363 484 528 554 726 831 968 1108 1452 1662 1936 2216 2904 3047 3324 4432 5808 6094 6648 9141 12188 13296 18282 22639 24376 33517 36564 45278 48752 67034 67917 73128 90556 100551 134068 135834 146256 181112 201102 249029 268136 271668 362224 402204 498058 536272 543336 747087 804408 996116 1086672 1494174 1608816 1992232 2739319 2988348 3984464 5478638 5976696 6271003 8217957 10957276 11953392 12542006 16435914 18813009 21914552 25084012 32871828 37626018 43829104 50168024 65743656 68981033 75252036 100336048 131487312 137962066 150504072 206943099 275924132 301008144 413886198 551848264 758791363 827772396 1103696528 1517582726 1655544792 2276374089 3035165452 3311089584 4552748178 6070330904 9105496356 12140661808 18210992712 36421985424