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196002596448 = 2533881257497
BaseRepresentation
bin1011011010001010101…
…0100100011001100000
3200201220202110112201000
42312202222210121200
511202403131041243
6230013051512000
720106061403151
oct2664252443140
9621822415630
10196002596448
11761403a07aa
1231ba0a58600
13156380c9529
1496b5245928
1551725635d3
hex2da2aa4660

196002596448 has 96 divisors (see below), whose sum is σ = 572325354720. Its totient is φ = 65259786240.

The previous prime is 196002596411. The next prime is 196002596473. The reversal of 196002596448 is 844695200691.

196002596448 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 0 + 2 + 596 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 196002596394 and 196002596403.

It is a congruent number.

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, 632436 + ... + 889932.

It is an arithmetic number, because the mean of its divisors is an integer number (5961722445).

Almost surely, 2196002596448 is an apocalyptic number.

196002596448 is a gapful number since it is divisible by the number (18) 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 196002596448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286162677360).

196002596448 is an abundant number, since it is smaller than the sum of its proper divisors (376322758272).

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

196002596448 is a wasteful number, since it uses less digits than its factorization.

196002596448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258397 (or 258383 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 196002596448 in words is "one hundred ninety-six billion, two million, five hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 881 1762 2643 3524 5286 7048 7929 10572 14096 15858 21144 23787 28192 31716 42288 47574 63432 84576 95148 126864 190296 253728 257497 380592 514994 761184 772491 1029988 1544982 2059976 2317473 3089964 4119952 4634946 6179928 6952419 8239904 9269892 12359856 13904838 18539784 24719712 27809676 37079568 55619352 74159136 111238704 222477408 226854857 453709714 680564571 907419428 1361129142 1814838856 2041693713 2722258284 3629677712 4083387426 5444516568 6125081139 7259355424 8166774852 10889033136 12250162278 16333549704 21778066272 24500324556 32667099408 49000649112 65334198816 98001298224 196002596448