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146903456672 = 257293688429
BaseRepresentation
bin1000100011010000100…
…0001101101110100000
3112001011221202210222122
42020310020031232200
54401324241103142
6151253030523412
713420255531100
oct2106410155640
9461157683878
10146903456672
1157335198335
1224579806568
1310b11b948bb
147178417200
153c4bd1a1d2
hex223420dba0

146903456672 has 36 divisors (see below), whose sum is σ = 336435152130. Its totient is φ = 62958623616.

The previous prime is 146903456671. The next prime is 146903456743. The reversal of 146903456672 is 276654309641.

It can be written as a sum of positive squares in only one way, i.e., 76638170896 + 70265285776 = 276836^2 + 265076^2 .

It is not an unprimeable number, because it can be changed into a prime (146903456671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46842647 + ... + 46845782.

Almost surely, 2146903456672 is an apocalyptic number.

It is an amenable number.

146903456672 is an abundant number, since it is smaller than the sum of its proper divisors (189531695458).

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

146903456672 is an equidigital number, since it uses as much as digits as its factorization.

146903456672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93688453 (or 93688438 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 146903456672 in words is "one hundred forty-six billion, nine hundred three million, four hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 93688429 187376858 374753716 655819003 749507432 1311638006 1499014864 2623276012 2998029728 4590733021 5246552024 9181466042 10493104048 18362932084 20986208096 36725864168 73451728336 146903456672