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90197434548 = 2233131741611511
BaseRepresentation
bin101010000000000101…
…1111010000010110100
322121211000101102102000
41110000023322002310
52434211020401143
6105234112015300
76342114354324
oct1240013720264
9277730342360
1090197434548
1135286111641
1215592b31530
1386759bb960
144519213284
15252d87abd3
hex15002fa0b4

90197434548 has 384 divisors, whose sum is σ = 277812218880. Its totient is φ = 25049088000.

The previous prime is 90197434541. The next prime is 90197434559. The reversal of 90197434548 is 84543479109.

90197434548 is a `hidden beast` number, since 9 + 0 + 1 + 97 + 4 + 3 + 4 + 548 = 666.

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 = 90197434494 and 90197434503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90197434541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59693113 + ... + 59694623.

It is an arithmetic number, because the mean of its divisors is an integer number (723469320).

Almost surely, 290197434548 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 90197434548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138906109440).

90197434548 is an abundant number, since it is smaller than the sum of its proper divisors (187614784332).

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

90197434548 is a wasteful number, since it uses less digits than its factorization.

90197434548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 90197434548 in words is "ninety billion, one hundred ninety-seven million, four hundred thirty-four thousand, five hundred forty-eight".