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20389955448 = 23317292716359
BaseRepresentation
bin10010111111010101…
…100000011101111000
31221122000022001120010
4102333111200131320
5313224312033243
613211135301520
71321165522152
oct227725403570
957560261503
1020389955448
118713664355
123b5067a8a0
131bcc4102c5
14db5dd3ad2
157e50e8433
hex4bf560778

20389955448 has 128 divisors (see below), whose sum is σ = 56049408000. Its totient is φ = 6152509440.

The previous prime is 20389955437. The next prime is 20389955459. The reversal of 20389955448 is 84455998302.

It is an interprime number because it is at equal distance from previous prime (20389955437) and next prime (20389955459).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 3203293 + ... + 3209651.

It is an arithmetic number, because the mean of its divisors is an integer number (437886000).

Almost surely, 220389955448 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 20389955448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28024704000).

20389955448 is an abundant number, since it is smaller than the sum of its proper divisors (35659452552).

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

20389955448 is a wasteful number, since it uses less digits than its factorization.

20389955448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 20389955448 in words is "twenty billion, three hundred eighty-nine million, nine hundred fifty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 271 348 408 493 542 696 813 986 1084 1479 1626 1972 2168 2958 3252 3944 4607 5916 6359 6504 7859 9214 11832 12718 13821 15718 18428 19077 23577 25436 27642 31436 36856 38154 47154 50872 55284 62872 76308 94308 108103 110568 133603 152616 184411 188616 216206 267206 324309 368822 400809 432412 534412 553233 648618 737644 801618 864824 1068824 1106466 1297236 1475288 1603236 1723289 2212932 2594472 3134987 3206472 3446578 4425864 5169867 6269974 6893156 9404961 10339734 12539948 13786312 18809922 20679468 25079896 29295913 37619844 41358936 49975381 58591826 75239688 87887739 99950762 117183652 149926143 175775478 199901524 234367304 299852286 351550956 399803048 599704572 703101912 849581477 1199409144 1699162954 2548744431 3398325908 5097488862 6796651816 10194977724 20389955448