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4892169830640 = 2435171249960017
BaseRepresentation
bin100011100110000110000…
…0010111000000011110000
3122022200112201121222002220
41013030030002320003300
51120123130434040030
614223233133441040
71013306346305421
oct107141402700360
918280481558086
104892169830640
111616837370314
12670175940180
13296439294921
1412cad4829648
15873cad86a10
hex4730c0b80f0

4892169830640 has 160 divisors (see below), whose sum is σ = 16070701320000. Its totient is φ = 1226854367232.

The previous prime is 4892169830567. The next prime is 4892169830641. The reversal of 4892169830640 is 460389612984.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4892169830641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4615912 + ... + 5575928.

It is an arithmetic number, because the mean of its divisors is an integer number (100441883250).

Almost surely, 24892169830640 is an apocalyptic number.

4892169830640 is a gapful number since it is divisible by the number (40) 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 4892169830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035350660000).

4892169830640 is an abundant number, since it is smaller than the sum of its proper divisors (11178531489360).

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

4892169830640 is a wasteful number, since it uses less digits than its factorization.

4892169830640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961299 (or 961293 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 4892169830640 in words is "four trillion, eight hundred ninety-two billion, one hundred sixty-nine million, eight hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1249 1360 2040 2498 3747 4080 4996 6245 7494 9992 12490 14988 18735 19984 21233 24980 29976 37470 42466 49960 59952 63699 74940 84932 99920 106165 127398 149880 169864 212330 254796 299760 318495 339728 424660 509592 636990 849320 960017 1019184 1273980 1698640 1920034 2547960 2880051 3840068 4800085 5095920 5760102 7680136 9600170 11520204 14400255 15360272 16320289 19200340 23040408 28800510 32640578 38400680 46080816 48960867 57601020 65281156 76801360 81601445 97921734 115202040 130562312 163202890 195843468 230404080 244804335 261124624 326405780 391686936 489608670 652811560 783373872 979217340 1199061233 1305623120 1958434680 2398122466 3597183699 3916869360 4796244932 5995306165 7194367398 9592489864 11990612330 14388734796 17985918495 19184979728 20384040961 23981224660 28777469592 35971836990 40768081922 47962449320 57554939184 61152122883 71943673980 81536163844 95924898640 101920204805 122304245766 143887347960 163072327688 203840409610 244608491532 287774695920 305760614415 326144655376 407680819220 489216983064 611521228830 815361638440 978433966128 1223042457660 1630723276880 2446084915320 4892169830640