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15987087113664 = 263532935361973
BaseRepresentation
bin1110100010100100100010…
…1001011111110111000000
32002121100110120220012202010
43220221020221133313000
54043413023300114124
654000211052052520
73240012631212522
oct350511051376700
962540416805663
1015987087113664
1151040a3990887
1219624a3164140
138bc764197874
143d3ac9d8ba12
151cacda435529
hexe8a48a5fdc0

15987087113664 has 112 divisors (see below), whose sum is σ = 43244363205792. Its totient is φ = 5210635702272.

The previous prime is 15987087113617. The next prime is 15987087113671. The reversal of 15987087113664 is 46631178078951.

It is a junction number, because it is equal to n+sod(n) for n = 15987087113595 and 15987087113604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300582 + ... + 5662554.

It is an arithmetic number, because the mean of its divisors is an integer number (386110385766).

Almost surely, 215987087113664 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 15987087113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21622181602896).

15987087113664 is an abundant number, since it is smaller than the sum of its proper divisors (27257276092128).

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

15987087113664 is a wasteful number, since it uses less digits than its factorization.

15987087113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362334 (or 5362324 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 15987087113664 in words is "fifteen trillion, nine hundred eighty-seven billion, eighty-seven million, one hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 293 318 424 586 636 848 879 1172 1272 1696 1758 2344 2544 3392 3516 4688 5088 7032 9376 10176 14064 15529 18752 28128 31058 46587 56256 62116 93174 124232 186348 248464 372696 496928 745392 993856 1490784 2981568 5361973 10723946 16085919 21447892 32171838 42895784 64343676 85791568 128687352 171583136 257374704 284184569 343166272 514749408 568369138 852553707 1029498816 1136738276 1571058089 1705107414 2273476552 3142116178 3410214828 4546953104 4713174267 6284232356 6820429656 9093906208 9426348534 12568464712 13640859312 18187812416 18852697068 25136929424 27281718624 37705394136 50273858848 54563437248 75410788272 83266078717 100547717696 150821576544 166532157434 249798236151 301643153088 333064314868 499596472302 666128629736 999192944604 1332257259472 1998385889208 2664514518944 3996771778416 5329029037888 7993543556832 15987087113664