Search a number
-
+
153771400740152 = 23132294122333099
BaseRepresentation
bin100010111101101010110001…
…101101111011110100111000
3202011110101212022022212202002
4202331222301231323310320
5130123342312042141102
61303013334542400132
744250421442131256
oct4275526155736470
9664411768285662
10153771400740152
1144aa60a29a6498
12152b5b16b90048
1367a577222aa00
1429d880b2955d6
1512b9e312ca902
hex8bdab1b7bd38

153771400740152 has 144 divisors (see below), whose sum is σ = 331041342555000. Its totient is φ = 66852776739840.

The previous prime is 153771400740109. The next prime is 153771400740173. The reversal of 153771400740152 is 251047004177351.

It is a junction number, because it is equal to n+sod(n) for n = 153771400740097 and 153771400740106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64742099 + ... + 67075197.

Almost surely, 2153771400740152 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 153771400740152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165520671277500).

153771400740152 is an abundant number, since it is smaller than the sum of its proper divisors (177269941814848).

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

153771400740152 is a wasteful number, since it uses less digits than its factorization.

153771400740152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333242 (or 2333184 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 47.

The spelling of 153771400740152 in words is "one hundred fifty-three trillion, seven hundred seventy-one billion, four hundred million, seven hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 41 52 58 82 104 116 164 169 232 328 338 377 533 676 754 1066 1189 1352 1508 1681 2132 2378 3016 3362 4264 4756 4901 6724 6929 9512 9802 13448 13858 15457 19604 21853 27716 30914 39208 43706 48749 55432 61828 87412 97498 123656 174824 194996 200941 284089 389992 401882 568178 633737 803764 1136356 1267474 1607528 2272712 2333099 2534948 4666198 5069896 8238581 9332396 16477162 18664792 30330287 32954324 60660574 65908648 67659871 95657059 121321148 135319742 191314118 242642296 270639484 382628236 394293731 541278968 765256472 788587462 879578323 1243541767 1577174924 1759156646 2487083534 2774054711 3154349848 3518313292 3921939419 4974167068 5548109422 7036626584 7843878838 9948334136 11096218844 11434518199 15687757676 16166042971 22192437688 22869036398 31375515352 32332085942 36062711243 45738072796 50985212447 64664171884 72125422486 91476145592 101970424894 113736243151 129328343768 144250844972 203940849788 227472486302 288501689944 407881699576 454944972604 468815246159 662807761811 909889945208 937630492318 1325615523622 1478571160963 1875260984636 2651231047244 2957142321926 3750521969272 5302462094488 5914284643852 11828569287704 19221425092519 38442850185038 76885700370076 153771400740152