Search a number
-
+
326425652455552 = 27132153904910069
BaseRepresentation
bin100101000111000011110010…
…1000011110110100010000000
31120210202222122222010202222021
41022032013211003312202000
5320241124214012034202
63114125512522451224
7125520321653300266
oct11216074503664200
91523688588122867
10326425652455552
1195011383a038a1
123073b58a663b14
131101aa64b23a50
145a8712b90c436
1527b1131178a37
hex128e1e50f6880

326425652455552 has 128 divisors (see below), whose sum is σ = 700796565630000. Its totient is φ = 150556422242304.

The previous prime is 326425652455459. The next prime is 326425652455603. The reversal of 326425652455552 is 255554256524623.

It can be written as a sum of positive squares in 8 ways, for example, as 46481087831616 + 279944564623936 = 6817704^2 + 16731544^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32418869974 + ... + 32418880042.

Almost surely, 2326425652455552 is an apocalyptic number.

326425652455552 is a gapful number since it is divisible by the number (32) 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 326425652455552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350398282815000).

326425652455552 is an abundant number, since it is smaller than the sum of its proper divisors (374370913174448).

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

326425652455552 is a wasteful number, since it uses less digits than its factorization.

326425652455552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21298 (or 21286 counting only the distinct ones).

The product of its digits is 432000000, while the sum is 61.

The spelling of 326425652455552 in words is "three hundred twenty-six trillion, four hundred twenty-five billion, six hundred fifty-two million, four hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2153 4306 8612 9049 10069 17224 18098 20138 27989 34448 36196 40276 55978 68896 72392 80552 111956 117637 130897 137792 144784 161104 223912 235274 261794 275584 289568 322208 447824 470548 523588 579136 644416 895648 941096 1047176 1158272 1288832 1791296 1882192 2094352 3582592 3764384 4188704 7528768 8377408 15057536 16754816 19482497 21678557 38964994 43357114 77929988 86714228 91114381 155859976 173428456 182228762 253272461 281821241 311719952 346856912 364457524 506544922 563642482 623439904 693713824 728915048 1013089844 1127284964 1184486953 1246879808 1387427648 1457830096 2026179688 2254569928 2368973906 2493759616 2774855296 2915660192 4052359376 4509139856 4737947812 5831320384 8104718752 9018279712 9475895624 11662640768 16209437504 18036559424 18951791248 32418875008 36073118848 37903582496 75807164992 151614329984 196169262293 392338524586 784677049172 1569354098344 2550200409809 3138708196688 5100400819618 6277416393376 10200801639236 12554832786752 20401603278472 25109665573504 40803206556944 81606413113888 163212826227776 326425652455552