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58806189640 = 235111032335569
BaseRepresentation
bin110110110001000111…
…110011111001001000
312121210022012221210201
4312301013303321020
51430413341032030
643003140421544
74151162236012
oct666107637110
9177708187721
1058806189640
1122a37619730
12b4920a78b4
135712322123
142bbc0d51b2
1517e2a3b2ca
hexdb11f3e48

58806189640 has 128 divisors (see below), whose sum is σ = 146395641600. Its totient is φ = 21081784320.

The previous prime is 58806189553. The next prime is 58806189679. The reversal of 58806189640 is 4698160885.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 10556776 + ... + 10562344.

It is an arithmetic number, because the mean of its divisors is an integer number (1143715950).

Almost surely, 258806189640 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 58806189640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73197820800).

58806189640 is an abundant number, since it is smaller than the sum of its proper divisors (87589451960).

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

58806189640 is a wasteful number, since it uses less digits than its factorization.

58806189640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 58806189640 in words is "fifty-eight billion, eight hundred six million, one hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 233 412 440 466 515 824 932 1030 1133 1165 1864 2060 2266 2330 2563 4120 4532 4660 5126 5569 5665 9064 9320 10252 11138 11330 12815 20504 22276 22660 23999 25630 27845 44552 45320 47998 51260 55690 61259 95996 102520 111380 119995 122518 191992 222760 239990 245036 263989 306295 479980 490072 527978 573607 612590 959960 1055956 1147214 1225180 1297577 1319945 2111912 2294428 2450360 2595154 2639890 2868035 4588856 5190308 5279780 5736070 6309677 6487885 10380616 10559560 11472140 12619354 12975770 14273347 22944280 25238708 25951540 28546694 31548385 50477416 51903080 57093388 63096770 71366735 114186776 126193540 133650431 142733470 252387080 267300862 285466940 534601724 570933880 668252155 1069203448 1336504310 1470154741 2673008620 2940309482 5346017240 5880618964 7350773705 11761237928 14701547410 29403094820 58806189640