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171321040828 = 2272173110316103
BaseRepresentation
bin1001111110001110000…
…1111001111110111100
3121101012122202121110101
42133203201321332330
510301331141301303
6210412004250444
715243331551100
oct2374341717674
9541178677411
10171321040828
1166725296753
12292530a0a24
131320384b152
1484132b3900
1546ca7e4d1d
hex27e3879fbc

171321040828 has 144 divisors (see below), whose sum is σ = 384912912384. Its totient is φ = 66221729280.

The previous prime is 171321040823. The next prime is 171321040831. The reversal of 171321040828 is 828040123171.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171321040823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10631025 + ... + 10647127.

It is an arithmetic number, because the mean of its divisors is an integer number (2673006336).

Almost surely, 2171321040828 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 171321040828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192456456192).

171321040828 is an abundant number, since it is smaller than the sum of its proper divisors (213591871556).

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

171321040828 is a wasteful number, since it uses less digits than its factorization.

171321040828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16272 (or 16263 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

Adding to 171321040828 its reverse (828040123171), we get a palindrome (999361163999).

The spelling of 171321040828 in words is "one hundred seventy-one billion, three hundred twenty-one million, forty thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 31 34 49 62 68 98 103 119 124 196 206 217 238 412 434 476 527 721 833 868 1054 1442 1519 1666 1751 2108 2884 3038 3193 3332 3502 3689 5047 6076 6386 7004 7378 10094 12257 12772 14756 16103 20188 22351 24514 25823 32206 44702 49028 51646 54281 64412 85799 89404 103292 108562 112721 156457 171598 217124 225442 273751 312914 343196 379967 450884 499193 547502 625828 759934 789047 998386 1095004 1519868 1578094 1658609 1916257 1996772 2659769 3156188 3317218 3494351 3832514 5319538 6634436 6988702 7665028 8486281 10639076 11610263 13413799 13977404 16972562 23220526 24460457 26827598 28196353 33945124 46441052 48920914 51416879 53655196 56392706 59403967 81271841 97841828 102833758 112785412 118807934 162543682 197374471 205667516 237615868 325087364 359918153 394748942 415827769 719836306 789497884 831655538 874086943 1381621297 1439672612 1663311076 1748173886 2519427071 2763242594 3496347772 5038854142 5526485188 6118608601 10077708284 12237217202 24474434404 42830260207 85660520414 171321040828