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920387046390 = 235721381453377
BaseRepresentation
bin11010110010010110101…
…01111100101111110110
310020222200100121100022120
431121023111330233312
5110034423040441030
61542453040340410
7123332022545400
oct15311325745766
93228610540276
10920387046390
11325374547569
1212a463914706
1368a3b3bb276
1432792c5db70
1518e1c24d010
hexd64b57cbf6

920387046390 has 96 divisors (see below), whose sum is σ = 2571436697184. Its totient is φ = 210221383680.

The previous prime is 920387046361. The next prime is 920387046391. The reversal of 920387046390 is 93640783029.

It is a super-2 number, since 2×9203870463902 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920387046391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1803382 + ... + 2256758.

It is an arithmetic number, because the mean of its divisors is an integer number (26785798929).

Almost surely, 2920387046390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920387046390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285718348592).

920387046390 is an abundant number, since it is smaller than the sum of its proper divisors (1651049650794).

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

920387046390 is a wasteful number, since it uses less digits than its factorization.

920387046390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454782 (or 454775 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 920387046390 in words is "nine hundred twenty billion, three hundred eighty-seven million, forty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1381 1470 2762 4143 6905 8286 9667 13810 19334 20715 29001 41430 48335 58002 67669 96670 135338 145005 203007 290010 338345 406014 453377 676690 906754 1015035 1360131 2030070 2266885 2720262 3173639 4533770 6347278 6800655 9520917 13601310 15868195 19041834 22215473 31736390 44430946 47604585 66646419 95209170 111077365 133292838 222154730 333232095 626113637 666464190 1252227274 1878340911 3130568185 3756681822 4382795459 6261136370 8765590918 9391704555 13148386377 18783409110 21913977295 26296772754 30679568213 43827954590 61359136426 65741931885 92038704639 131483863770 153397841065 184077409278 306795682130 460193523195 920387046390