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10160611040 = 255439191607
BaseRepresentation
bin10010111011001111…
…01001111011100000
3222020002222112001102
421131213221323200
5131302104023130
64400121053532
7506534524466
oct113547517340
928202875042
1010160611040
114344444508
121b769272a8
13c5c0630a8
146c5610836
153e7036645
hex25d9e9ee0

10160611040 has 96 divisors (see below), whose sum is σ = 24604715520. Its totient is φ = 3962939904.

The previous prime is 10160611039. The next prime is 10160611091. The reversal of 10160611040 is 4011606101.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 6321917 + ... + 6323523.

It is an arithmetic number, because the mean of its divisors is an integer number (256299120).

Almost surely, 210160611040 is an apocalyptic number.

10160611040 is a gapful number since it is divisible by the number (10) 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 10160611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12302357760).

10160611040 is an abundant number, since it is smaller than the sum of its proper divisors (14444104480).

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

10160611040 is a wasteful number, since it uses less digits than its factorization.

10160611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1016061 and 1040, that added together give a palindrome (1017101).

The spelling of 10160611040 in words is "ten billion, one hundred sixty million, six hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 919 1376 1607 1720 1838 3214 3440 3676 4595 6428 6880 7352 8035 9190 12856 14704 16070 18380 25712 29408 32140 36760 39517 51424 64280 69101 73520 79034 128560 138202 147040 158068 197585 257120 276404 316136 345505 395170 552808 632272 691010 790340 1105616 1264544 1382020 1476833 1580680 2211232 2764040 2953666 3161360 5528080 5907332 6322720 7384165 11056160 11814664 14768330 23629328 29536660 47258656 59073320 63503819 118146640 127007638 236293280 254015276 317519095 508030552 635038190 1016061104 1270076380 2032122208 2540152760 5080305520 10160611040