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2973608061648 = 243725433480151
BaseRepresentation
bin101011010001011000110…
…110100010101011010000
3101112021101212011220011220
4223101120312202223100
5342204422130433043
610154020124405040
7424556531324310
oct53213066425320
911467355156156
102973608061648
11a47111257884
1240037b3a6780
13187543b0b433
14a3ccdb39440
155253c770483
hex2b458da2ad0

2973608061648 has 80 divisors (see below), whose sum is σ = 8782678634496. Its totient is φ = 849267964800.

The previous prime is 2973608061637. The next prime is 2973608061659. The reversal of 2973608061648 is 8461608063792.

It is an interprime number because it is at equal distance from previous prime (2973608061637) and next prime (2973608061659).

It is a junction number, because it is equal to n+sod(n) for n = 2973608061591 and 2973608061600.

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 15 ways as a sum of consecutive naturals, for example, 885628 + ... + 2594523.

Almost surely, 22973608061648 is an apocalyptic number.

2973608061648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2973608061648 is an abundant number, since it is smaller than the sum of its proper divisors (5809070572848).

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

2973608061648 is a wasteful number, since it uses less digits than its factorization.

2973608061648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482712 (or 3482706 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 2973608061648 in words is "two trillion, nine hundred seventy-three billion, six hundred eight million, sixty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2543 5086 7629 10172 15258 17801 20344 30516 35602 40688 53403 61032 71204 106806 122064 142408 213612 284816 427224 854448 3480151 6960302 10440453 13920604 20880906 24361057 27841208 41761812 48722114 55682416 73083171 83523624 97444228 146166342 167047248 194888456 292332684 389776912 584665368 1169330736 8850023993 17700047986 26550071979 35400095972 53100143958 61950167951 70800191944 106200287916 123900335902 141600383888 185850503853 212400575832 247800671804 371701007706 424801151664 495601343608 743402015412 991202687216 1486804030824 2973608061648