Search a number
-
+
153402461006550 = 23527223765309603
BaseRepresentation
bin100010111000010011001011…
…001100100010101011010110
3202010011010120021010112012020
4202320103023030202223112
5130101321220004202200
61302132041231434010
744211650663133630
oct4270231314425326
9663133507115166
10153402461006550
1144973689053a48
1215256511985906
136779a36832c32
1429c4a0c295a50
1512b053b643ea0
hex8b84cb322ad6

153402461006550 has 96 divisors (see below), whose sum is σ = 434980771805952. Its totient is φ = 35047744817280.

The previous prime is 153402461006539. The next prime is 153402461006593. The reversal of 153402461006550 is 55600164204351.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30305952 + ... + 35003651.

It is an arithmetic number, because the mean of its divisors is an integer number (4531049706312).

Almost surely, 2153402461006550 is an apocalyptic number.

153402461006550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153402461006550 is an abundant number, since it is smaller than the sum of its proper divisors (281578310799402).

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

153402461006550 is a wasteful number, since it uses less digits than its factorization.

153402461006550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65311862 (or 65311857 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 153402461006550 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty-one million, six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 2237 4474 6711 11185 13422 15659 22370 31318 33555 46977 55925 67110 78295 93954 111850 156590 167775 234885 335550 391475 469770 782950 1174425 2348850 65309603 130619206 195928809 326548015 391857618 457167221 653096030 914334442 979644045 1371501663 1632740075 1959288090 2285836105 2743003326 3265480150 4571672210 4898220225 6857508315 9796440450 11429180525 13715016630 22858361050 34287541575 68575083150 146097581911 292195163822 438292745733 730487909555 876585491466 1022683073377 1460975819110 2045366146754 2191463728665 3068049220131 3652439547775 4382927457330 5113415366885 6136098440262 7304879095550 10226830733770 10957318643325 15340246100655 21914637286650 25567076834425 30680492201310 51134153668850 76701230503275 153402461006550