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148021196400 = 24325271117101311
BaseRepresentation
bin1000100111011011000…
…0000011011001110000
3112011001211222212122100
42021312300003121300
54411121411241100
6151555555540400
713460050260360
oct2116660033160
9464054885570
10148021196400
1157859119780
122482bbba700
1310c5c616c5c
147242a529a0
153cb5007400
hex2276c03670

148021196400 has 1440 divisors, whose sum is σ = 687013456896. Its totient is φ = 28569600000.

The previous prime is 148021196381. The next prime is 148021196419. The reversal of 148021196400 is 4691120841.

148021196400 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 2 + 1 + 1 + 9 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148021196381) and next prime (148021196419).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 475952245 + ... + 475952555.

Almost surely, 2148021196400 is an apocalyptic number.

148021196400 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 148021196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343506728448).

148021196400 is an abundant number, since it is smaller than the sum of its proper divisors (538992260496).

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

148021196400 is a wasteful number, since it uses less digits than its factorization.

148021196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 148021196400 in words is "one hundred forty-eight billion, twenty-one million, one hundred ninety-six thousand, four hundred".