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146010077048 = 231147316311161
BaseRepresentation
bin1000011111111011100…
…0001111011101111000
3111221212200201102112102
42013332320033131320
54343012034431143
6151024234402532
713356160114553
oct2077670173570
9457780642472
10146010077048
1156a16977a70
122436a590448
13109cba786c4
1470d190169a
153be869a0b8
hex21fee0f778

146010077048 has 64 divisors (see below), whose sum is σ = 305135147520. Its totient is φ = 64929772800.

The previous prime is 146010076951. The next prime is 146010077053. The reversal of 146010077048 is 840770010641.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13076588 + ... + 13087748.

It is an arithmetic number, because the mean of its divisors is an integer number (4767736680).

Almost surely, 2146010077048 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 146010077048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152567573760).

146010077048 is an abundant number, since it is smaller than the sum of its proper divisors (159125070472).

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

146010077048 is a wasteful number, since it uses less digits than its factorization.

146010077048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14388 (or 14384 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

Adding to 146010077048 its reverse (840770010641), we get a palindrome (986780087689).

The spelling of 146010077048 in words is "one hundred forty-six billion, ten million, seventy-seven thousand, forty-eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 3163 4136 6326 11161 12652 22322 25304 34793 44644 69586 89288 122771 139172 148661 245542 278344 297322 491084 524567 594644 982168 1049134 1189288 1635271 2098268 3270542 4196536 5770237 6541084 11540474 13082168 23080948 35302243 46161896 70604486 141208972 282417944 388324673 776649346 1553298692 1659205421 3106597384 3318410842 6636821684 13273643368 18251259631 36502519262 73005038524 146010077048