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97019368488 = 233372193179197
BaseRepresentation
bin101101001011011001…
…1100001010000101000
3100021102110001120111000
41122112303201100220
53042143424242423
6112323045435000
710003142011500
oct1322663412050
9307373046430
1097019368488
11381669a4579
121697770ba60
1391c214a063
1449a525aa00
1527cc71e843
hex1696ce1428

97019368488 has 768 divisors, whose sum is σ = 346705920000. Its totient is φ = 24964692480.

The previous prime is 97019368487. The next prime is 97019368517. The reversal of 97019368488 is 88486391079.

97019368488 is a `hidden beast` number, since 9 + 7 + 0 + 1 + 93 + 68 + 488 = 666.

It is a super-2 number, since 2×970193684882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97019368487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 492484006 + ... + 492484202.

It is an arithmetic number, because the mean of its divisors is an integer number (451440000).

Almost surely, 297019368488 is an apocalyptic number.

97019368488 is a gapful number since it is divisible by the number (98) 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 97019368488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173352960000).

97019368488 is an abundant number, since it is smaller than the sum of its proper divisors (249686551512).

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

97019368488 is a wasteful number, since it uses less digits than its factorization.

97019368488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 97019368488 in words is "ninety-seven billion, nineteen million, three hundred sixty-eight thousand, four hundred eighty-eight".