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3433216655106 = 2327131745727893
BaseRepresentation
bin110001111101011011101…
…010001011111100000010
3110011012201202211120002100
4301331123222023330002
5422222211430430411
611145110431531230
7503020211032140
oct61753352137402
913135652746070
103433216655106
111104023330757
12475469389b16
131bb99ba83944
14bc2507c6590
155e48c354456
hex31f5ba8bf02

3433216655106 has 96 divisors (see below), whose sum is σ = 8567649687168. Its totient is φ = 973265679360.

The previous prime is 3433216655101. The next prime is 3433216655107. The reversal of 3433216655106 is 6015566123343.

3433216655106 is a `hidden beast` number, since 3 + 4 + 3 + 32 + 1 + 66 + 551 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3433216655101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123071296 + ... + 123099188.

It is an arithmetic number, because the mean of its divisors is an integer number (89246350908).

Almost surely, 23433216655106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3433216655106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283824843584).

3433216655106 is an abundant number, since it is smaller than the sum of its proper divisors (5134433032062).

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

3433216655106 is a wasteful number, since it uses less digits than its factorization.

3433216655106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35496 (or 35493 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3433216655106 in words is "three trillion, four hundred thirty-three billion, two hundred sixteen million, six hundred fifty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 5502 7457 8253 14914 16506 22371 27893 44742 52199 55786 67113 83679 104398 134226 156597 167358 195251 251037 313194 390502 469791 502074 585753 939582 976867 1171506 1757259 1953734 2930601 3514518 3653983 5861202 6838069 7307966 8791803 10961949 13676138 17583606 20514207 21923898 25577881 32885847 41028414 51155762 61542621 65771694 76733643 123085242 153467286 207998101 230200929 415996202 460401858 623994303 1247988606 1455986707 1871982909 2911973414 3743965818 4367960121 8735920242 13103880363 26207760726 27247751231 54495502462 81743253693 163486507386 190734258617 245229761079 381468517234 490459522158 572202775851 1144405551702 1716608327553 3433216655106