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178830705152 = 2911216992
BaseRepresentation
bin1010011010001100100…
…1000000001000000000
3122002121000112002021002
42212203021000020000
510412221130031102
6214053110351132
715630406625141
oct2464311001000
9562530462232
10178830705152
11699292a8700
122a7aa05b4a8
1313b2c610cc8
1489267bdac8
1549b9c35902
hex29a3240200

178830705152 has 90 divisors (see below), whose sum is σ = 392979345759. Its totient is φ = 81238840320.

The previous prime is 178830705143. The next prime is 178830705167. The reversal of 178830705152 is 251507038871.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 89415352576 + 89415352576 = 299024^2 + 299024^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=299024.

It is a super-2 number, since 2×1788307051522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 178830705097 and 178830705106.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105255599 + ... + 105257297.

Almost surely, 2178830705152 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 178830705152

178830705152 is an abundant number, since it is smaller than the sum of its proper divisors (214148640607).

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

178830705152 is an frugal number, since it uses more digits than its factorization.

178830705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 47.

The spelling of 178830705152 in words is "one hundred seventy-eight billion, eight hundred thirty million, seven hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1699 1936 2816 3398 3872 5632 6796 7744 13592 15488 18689 27184 30976 37378 54368 61952 74756 108736 149512 205579 217472 299024 411158 434944 598048 822316 869888 1196096 1644632 2392192 2886601 3289264 4784384 5773202 6578528 9568768 11546404 13157056 23092808 26314112 31752611 46185616 52628224 63505222 92371232 105256448 127010444 184742464 254020888 349278721 369484928 508041776 698557442 738969856 1016083552 1397114884 1477939712 2032167104 2794229768 4064334208 5588459536 8128668416 11176919072 16257336832 22353838144 44707676288 89415352576 178830705152