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16400555520 = 293517125617
BaseRepresentation
bin11110100011000110…
…01001111000000000
31120022222112112200020
433101203021320000
5232042020234040
611311224453440
71120264264446
oct172143117000
946288475606
1016400555520
116a56760118
12321861a280
131714a6062b
14b1823cb96
1565ec68cd0
hex3d18c9e00

16400555520 has 160 divisors (see below), whose sum is σ = 55515116448. Its totient is φ = 4116185088.

The previous prime is 16400555497. The next prime is 16400555581. The reversal of 16400555520 is 2555500461.

It is a tau number, because it is divible by the number of its divisors (160).

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, 67752 + ... + 193368.

Almost surely, 216400555520 is an apocalyptic number.

16400555520 is a gapful number since it is divisible by the number (10) 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 16400555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757558224).

16400555520 is an abundant number, since it is smaller than the sum of its proper divisors (39114560928).

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

16400555520 is a wasteful number, since it uses less digits than its factorization.

16400555520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125660 (or 125644 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 16400555520 in words is "sixteen billion, four hundred million, five hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5440 6528 7680 8160 8704 10880 13056 16320 21760 26112 32640 43520 65280 125617 130560 251234 376851 502468 628085 753702 1004936 1256170 1507404 1884255 2009872 2135489 2512340 3014808 3768510 4019744 4270978 5024680 6029616 6406467 7537020 8039488 8541956 10049360 10677445 12059232 12812934 15074040 16078976 17083912 20098720 21354890 24118464 25625868 30148080 32032335 32157952 34167824 40197440 42709780 48236928 51251736 60296160 64064670 64315904 68335648 80394880 85419560 96473856 102503472 120592320 128129340 136671296 160789760 170839120 192947712 205006944 241184640 256258680 273342592 321579520 341678240 410013888 482369280 512517360 546685184 683356480 820027776 964738560 1025034720 1093370368 1366712960 1640055552 2050069440 2733425920 3280111104 4100138880 5466851840 8200277760 16400555520