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2151398661504 = 273113213723201
BaseRepresentation
bin11111010011101001010…
…110100101110110000000
321121200010200010201201120
4133103221112211312000
5240222031024132004
64324201111432240
7311301443615451
oct37235126456600
97550120121646
102151398661504
1175a448504034
122a8b57085680
13127b50813c91
14761b1cc5128
153ae6978a3d9
hex1f4e95a5d80

2151398661504 has 128 divisors (see below), whose sum is σ = 5768171261280. Its totient is φ = 710423347200.

The previous prime is 2151398661437. The next prime is 2151398661539. The reversal of 2151398661504 is 4051668931512.

It is a tau number, because it is divible by the number of its divisors (128).

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, 92717104 + ... + 92740304.

Almost surely, 22151398661504 is an apocalyptic number.

2151398661504 is a gapful number since it is divisible by the number (24) 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 2151398661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884085630640).

2151398661504 is an abundant number, since it is smaller than the sum of its proper divisors (3616772599776).

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

2151398661504 is a wasteful number, since it uses less digits than its factorization.

2151398661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25468 (or 25456 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 2151398661504 in words is "two trillion, one hundred fifty-one billion, three hundred ninety-eight million, six hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2137 2712 3616 4274 5424 6411 7232 8548 10848 12822 14464 17096 21696 23201 25644 34192 43392 46402 51288 68384 69603 92804 102576 136768 139206 185608 205152 241481 273536 278412 371216 410304 482962 556824 724443 742432 820608 965924 1113648 1448886 1484864 1931848 2227296 2621713 2897772 2969728 3863696 4454592 5243426 5795544 7727392 7865139 8909184 10486852 11591088 15454784 15730278 20973704 23182176 30909568 31460556 41947408 46364352 49580537 62921112 83894816 92728704 99161074 125842224 148741611 167789632 198322148 251684448 297483222 335579264 396644296 503368896 594966444 793288592 1006737792 1189932888 1586577184 2379865776 3173154368 4759731552 5602600681 6346308736 9519463104 11205201362 16807802043 19038926208 22410402724 33615604086 44820805448 67231208172 89641610896 134462416344 179283221792 268924832688 358566443584 537849665376 717132887168 1075699330752 2151398661504