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198902568480 = 253571122389239
BaseRepresentation
bin1011100100111110000…
…1000101011000100000
3201000101212021101110120
42321033201011120200
511224323024142410
6231212524200240
720240663636130
oct2711741053040
9630355241416
10198902568480
1177399350700
1232670099080
13159aab5a605
1498ac450ac0
155291e49570
hex2e4f845620

198902568480 has 1152 divisors, whose sum is σ = 833985331200. Its totient is φ = 38925680640.

The previous prime is 198902568451. The next prime is 198902568509. The reversal of 198902568480 is 84865209891.

It is an interprime number because it is at equal distance from previous prime (198902568451) and next prime (198902568509).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 832228201 + ... + 832228439.

It is an arithmetic number, because the mean of its divisors is an integer number (723945600).

Almost surely, 2198902568480 is an apocalyptic number.

198902568480 is a gapful number since it is divisible by the number (10) 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 198902568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416992665600).

198902568480 is an abundant number, since it is smaller than the sum of its proper divisors (635082762720).

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

198902568480 is a wasteful number, since it uses less digits than its factorization.

198902568480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 198902568480 in words is "one hundred ninety-eight billion, nine hundred two million, five hundred sixty-eight thousand, four hundred eighty".