Search a number
-
+
2928178602680 = 2352331499320563
BaseRepresentation
bin101010100111000101000…
…010111010001010111000
3101100221010210122021011112
4222213011002322022320
5340433402210241210
610121104153415452
7421360665311132
oct52470502721270
911327123567145
102928178602680
11a29919535971
123b360110a588
13183183c43076
14a1a20438052
155127e29ed05
hex2a9c50ba2b8

2928178602680 has 128 divisors (see below), whose sum is σ = 7098390097920. Its totient is φ = 1083936522240.

The previous prime is 2928178602673. The next prime is 2928178602781. The reversal of 2928178602680 is 862068718292.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142390079 + ... + 142410641.

It is an arithmetic number, because the mean of its divisors is an integer number (55456172640).

Almost surely, 22928178602680 is an apocalyptic number.

2928178602680 is a gapful number since it is divisible by the number (20) 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 2928178602680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549195048960).

2928178602680 is an abundant number, since it is smaller than the sum of its proper divisors (4170211495240).

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

2928178602680 is a wasteful number, since it uses less digits than its factorization.

2928178602680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25621 (or 25617 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 59.

The spelling of 2928178602680 in words is "two trillion, nine hundred twenty-eight billion, one hundred seventy-eight million, six hundred two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1240 1426 2852 3565 4993 5704 7130 9986 14260 19972 20563 24965 28520 39944 41126 49930 82252 99860 102815 114839 154783 164504 199720 205630 229678 309566 411260 459356 472949 574195 619132 637453 773915 822520 918712 945898 1148390 1238264 1274906 1547830 1891796 2296780 2364745 2549812 3095660 3187265 3560009 3783592 4593560 4729490 5099624 6191320 6374530 7120018 9458980 12749060 14240036 14661419 17800045 18917960 25498120 28480072 29322838 35600090 58645676 71200180 73307095 102671059 117291352 142400360 146614190 205342118 293228380 410684236 513355295 586456760 821368472 1026710590 2053421180 2361434357 3182802829 4106842360 4722868714 6365605658 9445737428 11807171785 12731211316 15914014145 18891474856 23614343570 25462422632 31828028290 47228687140 63656056580 73204465067 94457374280 127312113160 146408930134 292817860268 366022325335 585635720536 732044650670 1464089301340 2928178602680