Search a number
-
+
26121201556152 = 233449116312971607
BaseRepresentation
bin1011111000001110100001…
…11100001001101010111000
310102111011101110010001020010
411330013100330021222320
511410432210044244102
6131315525255101520
75334123503534463
oct574072074115270
9112434343101203
1026121201556152
118360a3733351a
122b1a5696718a0
1311762ac748761
146643b6baa2da
1530471451ad6c
hex17c1d0f09ab8

26121201556152 has 128 divisors (see below), whose sum is σ = 65596018752000. Its totient is φ = 8668115140608.

The previous prime is 26121201556141. The next prime is 26121201556159. The reversal of 26121201556152 is 25165510212162.

It is a happy number.

It is a super-3 number, since 3×261212015561523 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26121201556152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26121201556159) 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, 16254636133 + ... + 16254637739.

It is an arithmetic number, because the mean of its divisors is an integer number (512468896500).

Almost surely, 226121201556152 is an apocalyptic number.

It is an amenable number.

26121201556152 is an abundant number, since it is smaller than the sum of its proper divisors (39474817195848).

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

26121201556152 is a wasteful number, since it uses less digits than its factorization.

26121201556152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 26121201556152 in words is "twenty-six trillion, one hundred twenty-one billion, two hundred one million, five hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 449 898 1163 1297 1347 1607 1796 2326 2594 2694 3214 3489 3592 3891 4652 4821 5188 5388 6428 6978 7782 9304 9642 10376 10776 12856 13956 15564 19284 27912 31128 38568 522187 582353 721543 1044374 1164706 1443086 1508411 1566561 1747059 1868941 2084279 2088748 2164629 2329412 2886172 3016822 3133122 3494118 3737882 4168558 4177496 4329258 4525233 4658824 5606823 5772344 6033644 6252837 6266244 6988236 7475764 8337116 8658516 9050466 11213646 12067288 12505674 12532488 13976472 14951528 16674232 17317032 18100932 22427292 25011348 36201864 44854584 50022696 677276539 839154509 935841271 1354553078 1678309018 1871682542 2031829617 2424016477 2517463527 2709106156 2807523813 3356618036 3743365084 4063659234 4848032954 5034927054 5418212312 5615047626 6713236072 7272049431 7486730168 8127318468 9696065908 10069854108 11230095252 14544098862 16254636936 19392131816 20139708216 22460190504 29088197724 58176395448 1088383398173 2176766796346 3265150194519 4353533592692 6530300389038 8707067185384 13060600778076 26121201556152