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20490492624 = 2437971394523
BaseRepresentation
bin10011000101010101…
…000001101011010000
31221220000110212122020
4103011111001223100
5313431031230444
613225130211440
71323526212360
oct230525015320
957800425566
1020490492624
118765392428
123b7a283b80
131c171b1464
14dc54c49a0
157edd57119
hex4c5541ad0

20490492624 has 160 divisors (see below), whose sum is σ = 61572725760. Its totient is φ = 5751115776.

The previous prime is 20490492613. The next prime is 20490492629. The reversal of 20490492624 is 42629409402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20490492629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4528027 + ... + 4532549.

It is an arithmetic number, because the mean of its divisors is an integer number (384829536).

Almost surely, 220490492624 is an apocalyptic number.

20490492624 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 20490492624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30786362880).

20490492624 is an abundant number, since it is smaller than the sum of its proper divisors (41082233136).

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

20490492624 is a wasteful number, since it uses less digits than its factorization.

20490492624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 20490492624 in words is "twenty billion, four hundred ninety million, four hundred ninety-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 139 168 194 278 291 336 388 417 556 582 679 776 834 973 1112 1164 1358 1552 1668 1946 2037 2224 2328 2716 2919 3336 3892 4074 4523 4656 5432 5838 6672 7784 8148 9046 10864 11676 13483 13569 15568 16296 18092 23352 26966 27138 31661 32592 36184 40449 46704 53932 54276 63322 72368 80898 94381 94983 107864 108552 126644 161796 188762 189966 215728 217104 253288 283143 323592 377524 379932 438731 506576 566286 628697 647184 755048 759864 877462 1132572 1257394 1316193 1510096 1519728 1754924 1886091 2265144 2514788 2632386 3071117 3509848 3772182 4400879 4530288 5029576 5264772 6142234 7019696 7544364 8801758 9213351 10059152 10529544 12284468 13202637 15088728 17603516 18426702 21059088 24568936 26405274 30177456 35207032 36853404 49137872 52810548 60983609 70414064 73706808 105621096 121967218 147413616 182950827 211242192 243934436 365901654 426885263 487868872 731803308 853770526 975737744 1280655789 1463606616 1707541052 2561311578 2927213232 3415082104 5122623156 6830164208 10245246312 20490492624