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1355747490552 = 233713647959449
BaseRepresentation
bin10011101110101000110…
…110001111101011111000
311210121102101002101200110
4103232220312033223320
5134203032324144202
62514453301504320
7166643454346350
oct23565066175370
94717371071613
101355747490552
11482a73128a34
1219a9051120a0
139ab00822240
1449893357b60
15253ed17526c
hex13ba8d8faf8

1355747490552 has 128 divisors (see below), whose sum is σ = 4177982592000. Its totient is φ = 357006763008.

The previous prime is 1355747490551. The next prime is 1355747490599. The reversal of 1355747490552 is 2550947475531.

It is a junction number, because it is equal to n+sod(n) for n = 1355747490492 and 1355747490501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355747490551) 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, 933324 + ... + 1892772.

It is an arithmetic number, because the mean of its divisors is an integer number (32640489000).

Almost surely, 21355747490552 is an apocalyptic number.

1355747490552 is a gapful number since it is divisible by the number (12) 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 1355747490552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088991296000).

1355747490552 is an abundant number, since it is smaller than the sum of its proper divisors (2822235101448).

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

1355747490552 is a wasteful number, since it uses less digits than its factorization.

1355747490552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960125 (or 960121 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 57.

The spelling of 1355747490552 in words is "one trillion, three hundred fifty-five billion, seven hundred forty-seven million, four hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 647 728 1092 1294 1941 2184 2588 3882 4529 5176 7764 8411 9058 13587 15528 16822 18116 25233 27174 33644 36232 50466 54348 58877 67288 100932 108696 117754 176631 201864 235508 353262 471016 706524 959449 1413048 1918898 2878347 3837796 5756694 6716143 7675592 11513388 12472837 13432286 20148429 23026776 24945674 26864572 37418511 40296858 49891348 53729144 74837022 80593716 87309859 99782696 149674044 161187432 174619718 261929577 299348088 349239436 523859154 620763503 698478872 1047718308 1241527006 1862290509 2095436616 2483054012 3724581018 4345344521 4966108024 7449162036 8069925539 8690689042 13036033563 14898324072 16139851078 17381378084 24209776617 26072067126 32279702156 34762756168 48419553234 52144134252 56489478773 64559404312 96839106468 104288268504 112978957546 169468436319 193678212936 225957915092 338936872638 451915830184 677873745276 1355747490552