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2015411313104 = 247131241587971
BaseRepresentation
bin11101010100111111111…
…000000001100111010000
321010200010110221200011022
4131110333320001213100
5231010030244004404
64141511150535012
7265415525335040
oct35247770014720
97120113850138
102015411313104
11707805165492
12286725207468
1311808b383157
146d791581720
153765ae8c8be
hex1d53fe019d0

2015411313104 has 160 divisors (see below), whose sum is σ = 4527772204032. Its totient is φ = 851265792000.

The previous prime is 2015411313043. The next prime is 2015411313107. The reversal of 2015411313104 is 4013131145102.

It is a super-2 number, since 2×20154113131042 (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 (2015411313107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2075603339 + ... + 2075604309.

Almost surely, 22015411313104 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 2015411313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263886102016).

2015411313104 is an abundant number, since it is smaller than the sum of its proper divisors (2512360890928).

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

2015411313104 is a wasteful number, since it uses less digits than its factorization.

2015411313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 2015411313104 its reverse (4013131145102), we get a palindrome (6028542458206).

The spelling of 2015411313104 in words is "two trillion, fifteen billion, four hundred eleven million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 241 262 482 524 587 917 964 971 1048 1174 1687 1834 1928 1942 2096 2348 3374 3668 3856 3884 4109 4696 6748 6797 7336 7768 8218 9392 13496 13594 14672 15536 16436 26992 27188 31571 32872 54376 63142 65744 76897 108752 126284 127201 141467 153794 220997 234011 252568 254402 282934 307588 441994 468022 505136 508804 538279 565868 569977 615176 883988 890407 936044 990269 1017608 1076558 1131736 1139954 1230352 1638077 1767976 1780814 1872088 1980538 2035216 2153116 2263472 2279908 3276154 3535952 3561628 3744176 3961076 3989839 4306232 4559816 6552308 7123256 7922152 7979678 8612464 9119632 13104616 14246512 15844304 15959356 18532177 26209232 30655441 31918712 37064354 61310882 63837424 74128708 74666987 122621764 129725239 137364457 148257416 149333974 214588087 245243528 259450478 274728914 296514832 298667948 429176174 490487056 518900956 522668909 549457828 597335896 858352348 961551199 1037801912 1045337818 1098915656 1194671792 1716704696 1923102398 2075603824 2090675636 2197831312 3433409392 3846204796 4181351272 7692409592 8362702544 15384819184 17994743867 35989487734 71978975468 125963207069 143957950936 251926414138 287915901872 503852828276 1007705656552 2015411313104