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146997124947552 = 25311389357845303
BaseRepresentation
bin100001011011000101101111…
…011010100101111001100000
3201021110210021101021201110110
4201123011233122211321200
5123231400102441310202
61240345314050131320
742651122535022215
oct4133055732457140
9637423241251413
10146997124947552
114292414890a090
12145a103b880b40
136403a004c1659
1428429ad763b0c
1511edaec5c826c
hex85b16f6a5e60

146997124947552 has 96 divisors (see below), whose sum is σ = 422028437725440. Its totient is φ = 44430072696320.

The previous prime is 146997124947523. The next prime is 146997124947553. The reversal of 146997124947552 is 255749421799641.

146997124947552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146997124947553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178511868 + ... + 179333435.

It is an arithmetic number, because the mean of its divisors is an integer number (4396129559640).

Almost surely, 2146997124947552 is an apocalyptic number.

146997124947552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146997124947552 is an abundant number, since it is smaller than the sum of its proper divisors (275031312777888).

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

146997124947552 is a wasteful number, since it uses less digits than its factorization.

146997124947552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357845716 (or 357845708 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 75.

The spelling of 146997124947552 in words is "one hundred forty-six trillion, nine hundred ninety-seven billion, one hundred twenty-four million, nine hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 389 528 778 1056 1167 1556 2334 3112 4279 4668 6224 8558 9336 12448 12837 17116 18672 25674 34232 37344 51348 68464 102696 136928 205392 410784 357845303 715690606 1073535909 1431381212 2147071818 2862762424 3936298333 4294143636 5725524848 7872596666 8588287272 11451049696 11808894999 15745193332 17176574544 23617789998 31490386664 34353149088 47235579996 62980773328 94471159992 125961546656 139201822867 188942319984 278403645734 377884639968 417605468601 556807291468 835210937202 1113614582936 1531220051537 1670421874404 2227229165872 3062440103074 3340843748808 4454458331744 4593660154611 6124880206148 6681687497616 9187320309222 12249760412296 13363374995232 18374640618444 24499520824592 36749281236888 48999041649184 73498562473776 146997124947552