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145947432906 = 233111783137803
BaseRepresentation
bin1000011111101100100…
…1010001011111001010
3111221201022211202221000
42013323021101133022
54342400020323111
6151014115555430
713354466465562
oct2077311213712
9457638752830
10145947432906
1156994580550
12243515bbb76
13109bbab4072
1470c7475da2
153be2e23c56
hex21fb2517ca

145947432906 has 64 divisors (see below), whose sum is σ = 354012963840. Its totient is φ = 44201369520.

The previous prime is 145947432859. The next prime is 145947432947. The reversal of 145947432906 is 609234749541.

145947432906 is a `hidden beast` number, since 1 + 4 + 59 + 474 + 32 + 90 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990201 + ... + 1128003.

It is an arithmetic number, because the mean of its divisors is an integer number (5531452560).

Almost surely, 2145947432906 is an apocalyptic number.

145947432906 is an abundant number, since it is smaller than the sum of its proper divisors (208065530934).

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

145947432906 is a wasteful number, since it uses less digits than its factorization.

145947432906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139608 (or 139602 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 145947432906 in words is "one hundred forty-five billion, nine hundred forty-seven million, four hundred thirty-two thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1783 3566 5349 10698 16047 19613 32094 39226 48141 58839 96282 117678 137803 176517 275606 353034 413409 529551 826818 1059102 1240227 1515833 2480454 3031666 3720681 4547499 7441362 9094998 13642497 27284994 40927491 81854982 245702749 491405498 737108247 1474216494 2211324741 2702730239 4422649482 5405460478 6633974223 8108190717 13267948446 16216381434 24324572151 48649144302 72973716453 145947432906