Search a number
-
+
10158104619520 = 295111327748319
BaseRepresentation
bin1001001111010001111000…
…1101111010101000000000
31022222002211202222002121021
42103310132031322220000
52312412244240311040
633334322511435224
72065620205421014
oct223643615725000
938862752862537
1010158104619520
113267034266830
121180860825b14
13588b9c81b120
1427192501c544
151293802d624a
hex93d1e37aa00

10158104619520 has 160 divisors (see below), whose sum is σ = 28613623610880. Its totient is φ = 3409713315840.

The previous prime is 10158104619517. The next prime is 10158104619521. The reversal of 10158104619520 is 2591640185101.

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

It is a super-2 number, since 2×101581046195202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10158104619521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13508080 + ... + 14240239.

It is an arithmetic number, because the mean of its divisors is an integer number (178835147568).

Almost surely, 210158104619520 is an apocalyptic number.

10158104619520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10158104619520 is an abundant number, since it is smaller than the sum of its proper divisors (18455518991360).

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

10158104619520 is a wasteful number, since it uses less digits than its factorization.

10158104619520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27748366 (or 27748350 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 10158104619520 in words is "ten trillion, one hundred fifty-eight billion, one hundred four million, six hundred nineteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 416 440 512 520 572 640 704 715 832 880 1040 1144 1280 1408 1430 1664 1760 2080 2288 2560 2816 2860 3328 3520 4160 4576 5632 5720 6656 7040 8320 9152 11440 14080 16640 18304 22880 28160 33280 36608 45760 73216 91520 183040 366080 27748319 55496638 110993276 138741595 221986552 277483190 305231509 360728147 443973104 554966380 610463018 721456294 887946208 1109932760 1220926036 1442912588 1526157545 1775892416 1803640735 2219865520 2441852072 2885825176 3052315090 3551784832 3607281470 3968009617 4439731040 4883704144 5771650352 6104630180 7103569664 7214562940 7936019234 8879462080 9767408288 11543300704 12209260360 14207139328 14429125880 15872038468 17758924160 19534816576 19840048085 23086601408 24418520720 28858251760 31744076936 35517848320 39069633152 39680096170 46173202816 48837041440 57716503520 63488153872 71035696640 78139266304 79360192340 92346405632 97674082880 115433007040 126976307744 156278532608 158720384680 184692811264 195348165760 230866014080 253952615488 317440769360 390696331520 461732028160 507905230976 634881538720 781392663040 923464056320 1015810461952 1269763077440 2031620923904 2539526154880 5079052309760 10158104619520