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1058198933400 = 2335272732392063
BaseRepresentation
bin11110110011000011001…
…00100100111110011000
310202011101200222120022220
433121201210210332120
5114314142411332100
62130044015344040
7136311104344500
oct17314144447630
93664350876286
101058198933400
1137886378aa64
12151104822020
1378a3185133b
1439307a26a00
151c7d5ceeaa0
hexf661924f98

1058198933400 has 576 divisors, whose sum is σ = 3886336972800. Its totient is φ = 237447383040.

The previous prime is 1058198933399. The next prime is 1058198933443. The reversal of 1058198933400 is 43398918501.

1058198933400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10581989334002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 512940769 + ... + 512942831.

It is an arithmetic number, because the mean of its divisors is an integer number (6747112800).

Almost surely, 21058198933400 is an apocalyptic number.

1058198933400 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 1058198933400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943168486400).

1058198933400 is an abundant number, since it is smaller than the sum of its proper divisors (2828138039400).

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

1058198933400 is a wasteful number, since it uses less digits than its factorization.

1058198933400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 1058198933400 in words is "one trillion, fifty-eight billion, one hundred ninety-eight million, nine hundred thirty-three thousand, four hundred".