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20938578192 = 243377197523
BaseRepresentation
bin10011100000000010…
…010101100100010000
32000001020121222111000
4103200002111210100
5320340234000232
613341414222000
71340606656320
oct234002254420
960036558430
1020938578192
118975310784
124084354900
131c88c8a94c
141028c05280
1582836827c
hex4e0095910

20938578192 has 160 divisors (see below), whose sum is σ = 69655541760. Its totient is φ = 5898130560.

The previous prime is 20938578191. The next prime is 20938578209. The reversal of 20938578192 is 29187583902.

20938578192 is a `hidden beast` number, since 2 + 0 + 9 + 385 + 78 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20938578191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165943 + ... + 263465.

It is an arithmetic number, because the mean of its divisors is an integer number (435347136).

Almost surely, 220938578192 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 20938578192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34827770880).

20938578192 is an abundant number, since it is smaller than the sum of its proper divisors (48716963568).

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

20938578192 is a wasteful number, since it uses less digits than its factorization.

20938578192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97618 (or 97606 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 20938578192 in words is "twenty billion, nine hundred thirty-eight million, five hundred seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 71 72 84 108 112 126 142 144 168 189 213 216 252 284 336 378 426 432 497 504 568 639 756 852 994 1008 1136 1278 1491 1512 1704 1917 1988 2556 2982 3024 3408 3834 3976 4473 5112 5964 7668 7952 8946 10224 11928 13419 15336 17892 23856 26838 30672 35784 53676 71568 97523 107352 195046 214704 292569 390092 585138 682661 780184 877707 1170276 1365322 1560368 1755414 2047983 2340552 2633121 2730644 3510828 4095966 4681104 5266242 5461288 6143949 6924133 7021656 8191932 10532484 10922576 12287898 13848266 14043312 16383864 18431847 20772399 21064968 24575796 27696532 32767728 36863694 41544798 42129936 48468931 49151592 55393064 62317197 73727388 83089596 96937862 98303184 110786128 124634394 145406793 147454776 166179192 186951591 193875724 249268788 290813586 294909552 332358384 373903182 387751448 436220379 498537576 581627172 747806364 775502896 872440758 997075152 1163254344 1308661137 1495612728 1744881516 2326508688 2617322274 2991225456 3489763032 5234644548 6979526064 10469289096 20938578192