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245673600700 = 2252112383116993
BaseRepresentation
bin1110010011001101001…
…0011010011010111100
3212111010102020000000011
43210303102122122330
513011114420210300
6304505541513004
723515010102503
oct3446322323274
9774112200004
10245673600700
119520a385440
123b743712764
131a2229585c8
14bc67db583a
1565cd0bceba
hex393349a6bc

245673600700 has 144 divisors (see below), whose sum is σ = 614179190016. Its totient is φ = 84421427200.

The previous prime is 245673600649. The next prime is 245673600707. The reversal of 245673600700 is 7006376542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245673600707) 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, 2041404 + ... + 2158396.

It is an arithmetic number, because the mean of its divisors is an integer number (4265133264).

Almost surely, 2245673600700 is an apocalyptic number.

245673600700 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 245673600700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307089595008).

245673600700 is an abundant number, since it is smaller than the sum of its proper divisors (368505589316).

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

245673600700 is a wasteful number, since it uses less digits than its factorization.

245673600700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117124 (or 117117 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 245673600700 in words is "two hundred forty-five billion, six hundred seventy-three million, six hundred thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 83 92 100 110 115 166 220 230 253 275 332 415 460 506 550 575 830 913 1012 1100 1150 1265 1660 1826 1909 2075 2300 2530 3652 3818 4150 4565 5060 6325 7636 8300 9130 9545 12650 18260 19090 20999 22825 25300 38180 41998 45650 47725 83996 91300 95450 104995 116993 190900 209990 233986 419980 467972 524975 584965 1049950 1169930 1286923 2099900 2339860 2573846 2690839 2924825 5147692 5381678 5849650 6434615 9710419 10763356 11699300 12869230 13454195 19420838 25738460 26908390 29599229 32173075 38841676 48552095 53816780 59198458 64346150 67270975 97104190 106814609 118396916 128692300 134541950 147996145 194208380 213629218 223339637 242760475 269083900 295992290 427258436 446679274 485520950 534073045 591984580 739980725 893358548 971041900 1068146090 1116698185 1479961450 2136292180 2233396370 2456736007 2670365225 2959922900 4466792740 4913472014 5340730450 5583490925 9826944028 10681460900 11166981850 12283680035 22333963700 24567360070 49134720140 61418400175 122836800350 245673600700