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4455030202164 = 22326716931090979
BaseRepresentation
bin100000011010100010001…
…1111100001111100110100
3120202220012201021222200200
41000311010133201330310
51040442400212432124
613250340154240500
7636602541624243
oct100650437417464
916686181258620
104455030202164
111468405452393
125bb4b8726130
1326415237b379
141158a5d1695a
157ad43b68bc9
hex40d447e1f34

4455030202164 has 72 divisors (see below), whose sum is σ = 11436167302560. Its totient is φ = 1461980342592.

The previous prime is 4455030202141. The next prime is 4455030202169. The reversal of 4455030202164 is 4612020305544.

4455030202164 is a `hidden beast` number, since 4 + 4 + 550 + 3 + 0 + 20 + 21 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4455030202169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3538027 + ... + 4629005.

It is an arithmetic number, because the mean of its divisors is an integer number (158835656980).

Almost surely, 24455030202164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4455030202164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718083651280).

4455030202164 is an abundant number, since it is smaller than the sum of its proper divisors (6981137100396).

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

4455030202164 is a wasteful number, since it uses less digits than its factorization.

4455030202164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092749 (or 1092744 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4455030202164 in words is "four trillion, four hundred fifty-five billion, thirty million, two hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 1693 2412 3386 5079 6772 10158 15237 20316 30474 60948 113431 226862 340293 453724 680586 1020879 1090979 1361172 2041758 2181958 3272937 4083516 4363916 6545874 9818811 13091748 19637622 39275244 73095593 146191186 219286779 292382372 438573558 657860337 877147116 1315720674 1847027447 2631441348 3694054894 5541082341 7388109788 11082164682 16623247023 22164329364 33246494046 66492988092 123750838949 247501677898 371252516847 495003355796 742505033694 1113757550541 1485010067388 2227515101082 4455030202164