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1351642650740 = 2251721133156921
BaseRepresentation
bin10011101010110100001…
…011100001100001110100
311210012211022002221001022
4103222310023201201310
5134121131004310430
62512534104520312
7166436651652344
oct23526413414164
94705738087038
101351642650740
11481257048038
12199b5a480098
139a5c8284145
14495c4112d24
152525cae14e5
hex13ab42e1874

1351642650740 has 96 divisors (see below), whose sum is σ = 3028836924288. Its totient is φ = 504903168000.

The previous prime is 1351642650707. The next prime is 1351642650781. The reversal of 1351642650740 is 470562461531.

It is a junction number, because it is equal to n+sod(n) for n = 1351642650691 and 1351642650700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23717480 + ... + 23774400.

It is an arithmetic number, because the mean of its divisors is an integer number (31550384628).

Almost surely, 21351642650740 is an apocalyptic number.

1351642650740 is a gapful number since it is divisible by the number (10) 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 1351642650740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514418462144).

1351642650740 is an abundant number, since it is smaller than the sum of its proper divisors (1677194273548).

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

1351642650740 is a wasteful number, since it uses less digits than its factorization.

1351642650740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57489 (or 57487 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 1351642650740 in words is "one trillion, three hundred fifty-one billion, six hundred forty-two million, six hundred fifty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 211 331 340 422 662 844 1055 1324 1655 2110 3310 3587 4220 5627 6620 7174 11254 14348 17935 22508 28135 35870 56270 56921 69841 71740 112540 113842 139682 227684 279364 284605 349205 569210 698410 967657 1138420 1187297 1396820 1935314 2374594 3870628 4749188 4838285 5936485 9676570 11872970 12010331 18840851 19353140 23745940 24020662 37681702 48041324 60051655 75363404 94204255 120103310 188408510 204175627 240206620 320294467 376817020 408351254 640588934 816702508 1020878135 1281177868 1601472335 2041756270 3202944670 3975419561 4083512540 6405889340 7950839122 15901678244 19877097805 39754195610 67582132537 79508391220 135164265074 270328530148 337910662685 675821325370 1351642650740