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153153257104 = 2422724312
BaseRepresentation
bin1000111010100010100…
…1010011111010010000
3112122022111212120102201
42032220221103322100
510002124213211404
6154205125452544
714031165130441
oct2165051237220
9478274776381
10153153257104
1159a52025961
1225822871154
1311599933273
1475ac48d2c8
153eb5847ca4
hex23a8a53e90

153153257104 has 45 divisors (see below), whose sum is σ = 298740524131. Its totient is φ = 76062397280.

The previous prime is 153153257099. The next prime is 153153257129. The reversal of 153153257104 is 401752351351.

The square root of 153153257104 is 391348.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 355343769 + ... + 355344199.

Almost surely, 2153153257104 is an apocalyptic number.

153153257104 is the 391348-th square number.

It is an amenable number.

153153257104 is a deficient number, since it is larger than the sum of its proper divisors (145587267027).

153153257104 is an frugal number, since it uses more digits than its factorization.

153153257104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The spelling of 153153257104 in words is "one hundred fifty-three billion, one hundred fifty-three million, two hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 227 431 454 862 908 1724 1816 3448 3632 6896 51529 97837 103058 185761 195674 206116 371522 391348 412232 743044 782696 824464 1486088 1565392 2972176 22208999 42167747 44417998 84335494 88835996 168670988 177671992 337341976 355343984 674683952 9572078569 19144157138 38288314276 76576628552 153153257104