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374023980625 = 5417214392
BaseRepresentation
bin1010111000101011001…
…00010000011001010001
31022202102101002212022011
411130111210100121101
522112000114340000
6443454011542521
736010443244051
oct5342544203121
91282371085264
10374023980625
11134693871599
12605a3a5aa41
1329368b42b89
1414162351561
159ae11d02ba
hex5715910651

374023980625 has 45 divisors (see below), whose sum is σ = 496835826487. Its totient is φ = 281422352000.

The previous prime is 374023980581. The next prime is 374023980641. The reversal of 374023980625 is 526089320473.

The square root of 374023980625 is 611575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 182656228689 + 191367751936 = 427383^2 + 437456^2 .

It is not a de Polignac number, because 374023980625 - 235 = 339664242257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 259918656 + ... + 259920094.

Almost surely, 2374023980625 is an apocalyptic number.

374023980625 is the 611575-th square number.

374023980625 is the 305788-th centered octagonal number.

It is an amenable number.

374023980625 is a deficient number, since it is larger than the sum of its proper divisors (122811845862).

374023980625 is an frugal number, since it uses more digits than its factorization.

374023980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 374023980625 by its sum of digits (49), we get a square (18327175050625 = 42810252).

The spelling of 374023980625 in words is "three hundred seventy-four billion, twenty-three million, nine hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 425 625 1439 1445 2125 7195 7225 10625 24463 35975 36125 122315 179875 180625 415871 611575 899375 2070721 2079355 3057875 10353605 10396775 15289375 35202257 51768025 51983875 176011285 258840125 259919375 598438369 880056425 1294200625 2992191845 4400282125 14960959225 22001410625 74804796125 374023980625