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10401089148 = 223625713879
BaseRepresentation
bin10011010111111010…
…00000011001111100
3222211212111002000000
421223331000121330
5132300134323043
64440031234300
7515514541032
oct115375003174
928755432000
1010401089148
11445816424a
122023378990
13c99b20728
1470952c552
1540d1d92d3
hex26bf4067c

10401089148 has 84 divisors (see below), whose sum is σ = 27398537040. Its totient is φ = 3453290496.

The previous prime is 10401089119. The next prime is 10401089159. The reversal of 10401089148 is 84198010401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 742473 + ... + 756351.

It is an arithmetic number, because the mean of its divisors is an integer number (326173060).

Almost surely, 210401089148 is an apocalyptic number.

10401089148 is a gapful number since it is divisible by the number (18) 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 10401089148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699268520).

10401089148 is an abundant number, since it is smaller than the sum of its proper divisors (16997447892).

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

10401089148 is a wasteful number, since it uses less digits than its factorization.

10401089148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14158 (or 14141 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 10401089148 its reverse (84198010401), we get a palindrome (94599099549).

The spelling of 10401089148 in words is "ten billion, four hundred one million, eighty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 257 324 486 514 729 771 972 1028 1458 1542 2313 2916 3084 4626 6939 9252 13878 13879 20817 27756 27758 41634 41637 55516 62451 83268 83274 124902 124911 166548 187353 249804 249822 374706 374733 499644 749412 749466 1124199 1498932 2248398 3372597 3566903 4496796 6745194 7133806 10117791 10700709 13490388 14267612 20235582 21401418 32102127 40471164 42802836 64204254 96306381 128408508 192612762 288919143 385225524 577838286 866757429 1155676572 1733514858 2600272287 3467029716 5200544574 10401089148